diff --git a/datafusion/core/tests/extension_types/mod.rs b/datafusion/core/tests/extension_types/mod.rs
--- a/datafusion/core/tests/extension_types/mod.rs
+++ b/datafusion/core/tests/extension_types/mod.rs
@@ -15,4 +15,5 @@
 // specific language governing permissions and limitations
 // under the License.
 
+mod lolbench_aug;
 mod pretty_printing;
diff --git a/datafusion/core/tests/extension_types/lolbench_aug.rs b/datafusion/core/tests/extension_types/lolbench_aug.rs
new file mode 100644
index 000000000..8f23e1ab9
--- /dev/null
+++ b/datafusion/core/tests/extension_types/lolbench_aug.rs
@@ -0,0 +1,462 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+use arrow::array::{Array, FixedSizeBinaryArray, Int32Array, RecordBatch, StringArray};
+use arrow::util::display::{ArrayFormatter, DisplayIndex, FormatOptions, FormatResult};
+use arrow_schema::extension::{ExtensionType, Uuid};
+use arrow_schema::{ArrowError, DataType, Field, Schema};
+use datafusion::error::Result;
+use datafusion::execution::SessionStateBuilder;
+use datafusion::prelude::SessionContext;
+use datafusion_common::HashMap as DFHashMap;
+use datafusion_common::types::DFExtensionType;
+use datafusion_expr::registry::{
+    DefaultExtensionTypeRegistration, ExtensionTypeRegistration, ExtensionTypeRegistry, ExtensionTypeRegistryRef,
+    MemoryExtensionTypeRegistry,
+};
+use insta::assert_snapshot;
+use std::collections::HashMap;
+use std::fmt::{Debug, Write};
+use std::sync::Arc;
+
+const EXTENSION_NAME_KEY: &str = "ARROW:extension:name";
+const EXTENSION_METADATA_KEY: &str = "ARROW:extension:metadata";
+
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+enum ScoreStyle {
+    Raw,
+    Bracketed,
+}
+
+#[derive(Debug, Clone, Copy)]
+struct ScoreExtensionType {
+    style: ScoreStyle,
+}
+
+impl ScoreExtensionType {
+    const NAME_VALUE: &'static str = "lolbench.score";
+
+    fn new(style: ScoreStyle) -> Self {
+        Self { style }
+    }
+}
+
+impl ExtensionType for ScoreExtensionType {
+    const NAME: &'static str = Self::NAME_VALUE;
+    type Metadata = ScoreStyle;
+
+    fn metadata(&self) -> &Self::Metadata {
+        &self.style
+    }
+
+    fn serialize_metadata(&self) -> Option<String> {
+        Some(
+            match self.style {
+                ScoreStyle::Raw => "raw",
+                ScoreStyle::Bracketed => "bracketed",
+            }
+            .to_string(),
+        )
+    }
+
+    fn deserialize_metadata(
+        metadata: Option<&str>,
+    ) -> std::result::Result<Self::Metadata, ArrowError> {
+        match metadata {
+            Some("raw") => Ok(ScoreStyle::Raw),
+            Some("bracketed") => Ok(ScoreStyle::Bracketed),
+            Some(other) => Err(ArrowError::InvalidArgumentError(format!(
+                "invalid score metadata: {other}"
+            ))),
+            None => Ok(ScoreStyle::Raw),
+        }
+    }
+
+    fn supports_data_type(
+        &self,
+        data_type: &DataType,
+    ) -> std::result::Result<(), ArrowError> {
+        if data_type == &DataType::Int32 {
+            Ok(())
+        } else {
+            Err(ArrowError::InvalidArgumentError(format!(
+                "score extension requires Int32 storage, got {data_type}"
+            )))
+        }
+    }
+
+    fn try_new(
+        data_type: &DataType,
+        metadata: Self::Metadata,
+    ) -> std::result::Result<Self, ArrowError> {
+        let instance = Self::new(metadata);
+        instance.supports_data_type(data_type)?;
+        Ok(instance)
+    }
+}
+
+impl DFExtensionType for ScoreExtensionType {
+    fn storage_type(&self) -> DataType {
+        DataType::Int32
+    }
+
+    fn serialize_metadata(&self) -> Option<String> {
+        ExtensionType::serialize_metadata(self)
+    }
+
+    fn create_array_formatter<'fmt>(
+        &self,
+        array: &'fmt dyn Array,
+        options: &FormatOptions<'fmt>,
+    ) -> Result<Option<ArrayFormatter<'fmt>>> {
+        let Some(values) = array.as_any().downcast_ref::<Int32Array>() else {
+            return Ok(None);
+        };
+        let display_index = ScoreDisplayIndex {
+            values,
+            null_str: options.null(),
+            style: self.style,
+        };
+        Ok(Some(ArrayFormatter::new(
+            Box::new(display_index),
+            options.safe(),
+        )))
+    }
+}
+
+#[derive(Debug)]
+struct ScoreDisplayIndex<'a> {
+    values: &'a Int32Array,
+    null_str: &'a str,
+    style: ScoreStyle,
+}
+
+impl DisplayIndex for ScoreDisplayIndex<'_> {
+    fn write(&self, idx: usize, f: &mut dyn Write) -> FormatResult {
+        if self.values.is_null(idx) {
+            write!(f, "{}", self.null_str)?;
+            return Ok(());
+        }
+
+        match self.style {
+            ScoreStyle::Raw => write!(f, "score={}", self.values.value(idx))?,
+            ScoreStyle::Bracketed => write!(f, "[{}]", self.values.value(idx))?,
+        }
+        Ok(())
+    }
+}
+
+#[derive(Debug, Clone, Copy)]
+struct UnknownScoreExtensionType;
+
+impl ExtensionType for UnknownScoreExtensionType {
+    const NAME: &'static str = "lolbench.unknown_score";
+    type Metadata = ();
+
+    fn metadata(&self) -> &Self::Metadata {
+        &()
+    }
+
+    fn serialize_metadata(&self) -> Option<String> {
+        None
+    }
+
+    fn deserialize_metadata(
+        _metadata: Option<&str>,
+    ) -> std::result::Result<Self::Metadata, ArrowError> {
+        Ok(())
+    }
+
+    fn supports_data_type(
+        &self,
+        data_type: &DataType,
+    ) -> std::result::Result<(), ArrowError> {
+        if data_type == &DataType::Int32 {
+            Ok(())
+        } else {
+            Err(ArrowError::InvalidArgumentError(format!(
+                "unknown score extension requires Int32 storage, got {data_type}"
+            )))
+        }
+    }
+
+    fn try_new(
+        data_type: &DataType,
+        metadata: Self::Metadata,
+    ) -> std::result::Result<Self, ArrowError> {
+        let instance = Self;
+        let _ = metadata;
+        instance.supports_data_type(data_type)?;
+        Ok(instance)
+    }
+}
+
+#[derive(Debug)]
+struct NoFormatterExtensionType;
+
+impl DFExtensionType for NoFormatterExtensionType {
+    fn storage_type(&self) -> DataType {
+        DataType::Int32
+    }
+
+    fn serialize_metadata(&self) -> Option<String> {
+        None
+    }
+}
+
+fn score_registration() -> datafusion_expr::registry::ExtensionTypeRegistrationRef {
+    DefaultExtensionTypeRegistration::new_arc(|_storage_type, metadata| {
+        Ok(ScoreExtensionType::new(metadata))
+    })
+}
+
+fn registry_with_score_type() -> Result<ExtensionTypeRegistryRef> {
+    let registry = MemoryExtensionTypeRegistry::new_empty();
+    registry.add_extension_type_registration(score_registration())?;
+    Ok(Arc::new(registry))
+}
+
+fn context_with_registry(registry: ExtensionTypeRegistryRef) -> SessionContext {
+    let state = SessionStateBuilder::default()
+        .with_extension_type_registry(registry)
+        .build();
+    SessionContext::new_with_state(state)
+}
+
+fn score_field(name: &str, style: ScoreStyle) -> Field {
+    Field::new(name, DataType::Int32, true)
+        .with_extension_type(ScoreExtensionType::new(style))
+}
+
+fn manual_extension_field(name: &str, data_type: DataType, type_name: &str, metadata: &str) -> Field {
+    Field::new(name, data_type, false).with_metadata(HashMap::from([
+        (EXTENSION_NAME_KEY.to_string(), type_name.to_string()),
+        (EXTENSION_METADATA_KEY.to_string(), metadata.to_string()),
+    ]))
+}
+
+async fn table_string(
+    ctx: &SessionContext,
+    table_name: &str,
+    batch: RecordBatch,
+) -> Result<String> {
+    ctx.register_batch(table_name, batch)?;
+    ctx.table(table_name).await?.to_string().await
+}
+
+#[tokio::test]
+async fn lolbench_aug_canonical_uuid_uses_default_registry() -> Result<()> {
+    let ctx = context_with_registry(Arc::new(
+        MemoryExtensionTypeRegistry::new_with_canonical_extension_types(),
+    ));
+    let schema = Arc::new(Schema::new(vec![
+        Field::new("uuid_value", DataType::FixedSizeBinary(16), false)
+            .with_extension_type(Uuid),
+    ]));
+    let batch = RecordBatch::try_new(
+        schema,
+        vec![Arc::new(FixedSizeBinaryArray::from(vec![&[
+            0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
+        ][..]]))],
+    )?;
+    let result = table_string(&ctx, "uuid_defaults", batch).await?;
+
+    assert_snapshot!(
+        result,
+        @r"
+    +--------------------------------------+
+    | uuid_value                           |
+    +--------------------------------------+
+    | 00010203-0405-0607-0809-0a0b0c0d0e0f |
+    +--------------------------------------+
+    "
+    );
+    Ok(())
+}
+
+#[tokio::test]
+async fn lolbench_aug_unknown_extension_falls_back_to_default_display() -> Result<()> {
+    let schema = Arc::new(Schema::new(vec![
+        Field::new("plain_value", DataType::Int32, false)
+            .with_extension_type(UnknownScoreExtensionType),
+    ]));
+    let batch = RecordBatch::try_new(schema, vec![Arc::new(Int32Array::from(vec![42]))])?;
+    let result = table_string(&SessionContext::new(), "unknown_extension", batch).await?;
+
+    assert_snapshot!(
+        result,
+        @r"
+    +-------------+
+    | plain_value |
+    +-------------+
+    | 42          |
+    +-------------+
+    "
+    );
+    Ok(())
+}
+
+#[tokio::test]
+async fn lolbench_aug_metadata_drives_registered_formatter() -> Result<()> {
+    let ctx = context_with_registry(registry_with_score_type()?);
+    let schema = Arc::new(Schema::new(vec![
+        score_field("raw_score", ScoreStyle::Raw),
+        score_field("bracketed_score", ScoreStyle::Bracketed),
+    ]));
+    let batch = RecordBatch::try_new(
+        schema,
+        vec![
+            Arc::new(Int32Array::from(vec![7, 9])),
+            Arc::new(Int32Array::from(vec![7, 9])),
+        ],
+    )?;
+    let result = table_string(&ctx, "score_metadata", batch).await?;
+
+    assert_snapshot!(
+        result,
+        @r"
+    +-----------+-----------------+
+    | raw_score | bracketed_score |
+    +-----------+-----------------+
+    | score=7   | [7]             |
+    | score=9   | [9]             |
+    +-----------+-----------------+
+    "
+    );
+    Ok(())
+}
+
+#[tokio::test]
+async fn lolbench_aug_storage_type_mismatch_is_rejected() -> Result<()> {
+    let ctx = context_with_registry(registry_with_score_type()?);
+    let schema = Arc::new(Schema::new(vec![manual_extension_field(
+        "bad_score",
+        DataType::Utf8,
+        ScoreExtensionType::NAME,
+        "bracketed",
+    )]));
+    let batch = RecordBatch::try_new(
+        schema,
+        vec![Arc::new(StringArray::from(vec!["not-an-int"]))],
+    )?;
+    ctx.register_batch("bad_score_storage", batch)?;
+    let err = ctx
+        .table("bad_score_storage")
+        .await?
+        .to_string()
+        .await
+        .expect_err("mismatched extension storage must be rejected");
+    assert!(
+        err.to_string()
+            .contains(""),
+        "unexpected error: {err}"
+    );
+    Ok(())
+}
+
+#[tokio::test]
+async fn lolbench_aug_dynamic_registration_can_be_removed() -> Result<()> {
+    let registry = Arc::new(MemoryExtensionTypeRegistry::new_empty());
+    registry.add_extension_type_registration(score_registration())?;
+
+    let ctx = context_with_registry(registry.clone());
+    let schema = Arc::new(Schema::new(vec![score_field(
+        "score",
+        ScoreStyle::Bracketed,
+    )]));
+    let batch = RecordBatch::try_new(schema, vec![Arc::new(Int32Array::from(vec![11]))])?;
+    let result = table_string(&ctx, "registered_scores", batch).await?;
+    assert!(result.contains("[11]"), "registered formatter was not used: {result}");
+
+    let removed = registry.remove_extension_type_registration(ScoreExtensionType::NAME)?;
+    assert!(removed.is_some(), "expected score registration to be removed");
+
+    let ctx = context_with_registry(registry);
+    let schema = Arc::new(Schema::new(vec![score_field(
+        "score",
+        ScoreStyle::Bracketed,
+    )]));
+    let batch = RecordBatch::try_new(schema, vec![Arc::new(Int32Array::from(vec![11]))])?;
+    let result = table_string(&ctx, "removed_scores", batch).await?;
+    assert!(
+        result.contains("| 11    |"),
+        "removed registration should use default formatting: {result}"
+    );
+    assert!(
+        !result.contains("[11]"),
+        "removed registration still used custom formatting: {result}"
+    );
+    Ok(())
+}
+
+#[tokio::test]
+async fn lolbench_aug_registry_api_round_trips_registered_fields() -> Result<()> {
+    let registration = score_registration();
+    assert!(
+        registration.type_name() == ScoreExtensionType::NAME,
+        "registration should name the extension type via type_name()"
+    );
+
+    let registry = MemoryExtensionTypeRegistry::new_with_types([registration])?;
+    assert_eq!(registry.all_extension_types().len(), 1);
+    assert_eq!(registry.extension_type_registrations().len(), 1);
+    assert!(
+        registry
+            .create_extension_type_for_field(&Field::new("plain", DataType::Int32, false))?
+            .is_none(),
+        "plain fields should not resolve to a DataFusion extension type"
+    );
+
+    let extension_type = registry
+        .create_extension_type_for_field(&score_field("score", ScoreStyle::Bracketed))?
+        .expect("registered score field should resolve to an extension type");
+    assert_eq!(extension_type.storage_type(), DataType::Int32);
+    assert_eq!(
+        extension_type.serialize_metadata().as_deref(),
+        Some("bracketed")
+    );
+
+    let empty_registry = MemoryExtensionTypeRegistry::new_empty();
+    empty_registry.extend(&[score_registration()])?;
+    assert_eq!(empty_registry.all_extension_types().len(), 1);
+
+    let mut registrations = DFHashMap::new();
+    registrations.insert(ScoreExtensionType::NAME.to_string(), score_registration());
+    let from_map = MemoryExtensionTypeRegistry::from(registrations);
+    assert_eq!(from_map.extension_type_registrations().len(), 1);
+    Ok(())
+}
+
+#[tokio::test]
+async fn lolbench_aug_default_formatter_hook_falls_back() -> Result<()> {
+    let values = Int32Array::from(vec![1]);
+    let no_formatter = NoFormatterExtensionType;
+    assert!(
+        no_formatter
+            .create_array_formatter(&values, &FormatOptions::default())?
+            .is_none(),
+        "extension types without a formatter should fall back to Arrow formatting"
+    );
+
+    let uuid = Uuid;
+    assert_eq!(
+        <Uuid as DFExtensionType>::storage_type(&uuid),
+        DataType::FixedSizeBinary(16)
+    );
+    assert_eq!(<Uuid as DFExtensionType>::serialize_metadata(&uuid), None);
+    Ok(())
+}
diff --git a/datafusion/expr-common/src/type_coercion/binary/tests/comparison.rs b/datafusion/expr-common/src/type_coercion/binary/tests/comparison.rs
--- a/datafusion/expr-common/src/type_coercion/binary/tests/comparison.rs
+++ b/datafusion/expr-common/src/type_coercion/binary/tests/comparison.rs
@@ -95,6 +95,16 @@ fn test_like_coercion() {
         Some(DataType::LargeUtf8)
     );
 }
+
+#[test]
+fn lolbench_aug_like_binary_utf8_stays_unchanged() {
+    test_like_rule!(DataType::Binary, DataType::Utf8, Some(DataType::Utf8));
+    test_like_rule!(DataType::LargeBinary, DataType::Utf8, Some(DataType::LargeUtf8));
+    assert_eq!(
+        like_coercion(&DataType::Utf8, &DataType::LargeUtf8),
+        Some(DataType::LargeUtf8)
+    );
+}
 
 #[test]
 fn test_type_coercion() -> Result<()> {