Awards
| Year | Award | Category | Movie | Result |
|---|---|---|---|---|
| 2011 | Detroit Film Critics Society | Best Supporting Actress | Coriolanus (2011) | Nominated |
| 2011 | San Francisco Film Critics Circle | Best Supporting Actress | Coriolanus (2011) | Won |
| 2007 | Broadcast Film Critics Association | Best Supporting Actress | Atonement (2007) | Nominated |
| 2007 | Screen Actors Guild | Best Actress in a Telefilm or Miniseries | The Fever (2004) | Nominated |
| 2006 | British Independent Film Awards | Best Supporting Actor/Actress | Venus (2006) | Nominated |
| 2002 | Golden Globes | Best Performance by an Actress in a Miniseries or Motion Picture Made for Television | The Gathering Storm (2002) | Nominated |
| 2002 | Screen Actors Guild | Best Actress in a Television Movie or Miniseries | The Gathering Storm (2002) | Nominated |
| 2000 | Golden Globes | Best Supporting Actress in a Series, Miniseries or Motion Picture Made for Television | If (2000) | Won |
| 2000 | Screen Actors Guild | Best Actress in a Television Movie or Miniseries | If (2000) | Won |
| 1995 | Golden Globes | Best Performance by an Actress in a Motion Picture - Musical or Comedy | A Month By The Lake | Nominated |
| 1995 | Independent Spirit Awards | Best Supporting Actress | Little Odessa | Nominated |
| 1994 | Venice International Film Festival | Volpi Cup for Best Supporting Actress | Little Odessa | Won |
| 1992 | Academy Awards | Best Supporting Actress | Howards End | Nominated |
| 1987 | New York Film Critics Circle | Best Supporting Actress | Prick Up Your Ears | Won |
| 1984 | Academy Awards | Best Actress | The Bostonians | Nominated |
| 1984 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | The Bostonians | Nominated |
| 1977 | Academy Awards | Best Supporting Actress | Julia (1977) | Won |
| 1977 | Golden Globes | Best Performance by an Actress in a Supporting Role in a Motion Picture | Julia (1977) | Won |
| 1977 | Los Angeles Film Critics Association | Best Supporting Actress | Julia (1977) | Won |
| 1971 | Academy Awards | Best Actress | Mary, Queen of Scots | Nominated |
| 1971 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Mary, Queen of Scots | Nominated |
| 1969 | Cannes Film Festival | Best Actress | Isadora | Won |
| 1968 | Academy Awards | Best Actress | Isadora | Nominated |
| 1967 | Golden Globes | Best Performance by an Actress in a Motion Picture - Musical or Comedy | Camelot (1992) | Nominated |
| 1966 | Academy Awards | Best Actress | Morgan! | Nominated |
| 1966 | Cannes Film Festival | Best Actress | Morgan! | Won |
| 1966 | Golden Globes | Best Performance by an Actress in a Motion Picture - Musical or Comedy | Morgan! | Nominated |
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