| | Year Award Category Nominated work Result |
| | 1979 Olivier Award Best Actress in a Revival Once in a Lifetime Won |
| | 1981 Tony Award Best Featured in a Play Piaf! Nominated |
| | 1981 Drama Desk Award Outstanding Featured Actress in a Play Piaf! Nominated |
| | 1984 Olivier Award Best Actress in a Revival Twelfth Night Nominated |
| | 1984 Olivier Award Best Actress in a Supporting Role The Time of Your Life Nominated |
| | 1985 Olivier Award Best Performance in a Supporting Role Mother Courage Nominated |
| | 1986 Tony Award Best Featured Actress in a Play Loot Nominated |
| | 1986 Drama Desk Award Outstanding Featured Actress in a Play Loot Nominated |
| | 1989/90 Olivier Award Best Performance in a Supporting Role Othello Nominated |
| | 1991 Olivier Award Best Actress in a Supporting Role The Crucible Nominated |
| | 1992 BAFTA TV Award Best Actress Prime Suspect Nominated |
| | 1993 BAFTA TV Award Best Actress Love Hurts Nominated |
| | 1996 Olivier Award Best Actress The Glass Menagerie Nominated |
| | 1998 BAFTA Film Award Best Supporting Actress Wilde Nominated |
| | 1998 Olivier Award Best Actress Electra Won |
| | 1999 Tony Award Best Actress in a Play Electra Nominated |
| | 1999 Drama Desk Award Outstanding Actress in a Play Electra Nominated |
| | 2002 Olivier Award Best Actress Boston Marriage Nominated |
| | 2006 Tony Award Best Featured Actress in a Play Awake and Sing! Nominated |
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