- In 2008, received BAFTA TV Award for Best Actress
- In 2008, received Emmy Award for Outstanding Supporting Actress in a Miniseries or TV-Movie
- In 2002, received Screen Actors Guild Award for Outstanding Performance by the Cast of a Theatrical Motion Picture
- In 2002, received Broadcast Film Critics Association Award for Best Acting Ensemble
- In 1999, received Olivier Award for Best Actress in a Play
- In 1995, received Drama Desk Honorary Award
- In 1995, received OBIE Award for Performance
- In 1992, received London Critics Circle Film Award for Best Actress
- In 1991, received Drama Desk Award for Outstanding Solo Performance/One Person Show
- In 1991, received OBIE Award for Performance
- In 1989, received Olivier Award for Best Supporting Performance
- In 1978, received Drama Desk Award for Outstanding Featured Actress in a Play
- In 1972, received Plays and Players London Theatre Critics Award for Best Actress
- In 1972, received Drama Desk Award for Outstanding Performance
- In 1965, received Plays and Players London Theatre Critics Award for Most Promising Newcomer
