| Year | Event | Category | Film | Result |
|---|---|---|---|---|
| 2007 | Golden Globe Awards | Best Actress - Drama | Saving Grace | Nominated |
| 2004 | Academy Awards | Best Supporting Actress | Thirteen | Nominated |
| 2004 | British Academy Film Awards | Best Supporting Actress | Thirteen | Nominated |
| 2004 | Screen Actors Guild Awards | Outstanding Performance by a Female Actor in a Supporting Role | Thirteen | Nominated |
| 1994 | British Academy Film Awards | Best Leading Actress | (1993) | Winner |
| 1994 | Academy Awards | Best Actress | (1993) | Winner |
| 1994 | British Academy Film Awards | Best Supporting Actress | The Firm | Nominated |
| 1994 | Academy Awards | Best Supporting Actress | The Firm | Nominated |
| 1993 | Golden Globe Awards | Best Actress - Drama | (1993) | Winner |
| 1993 | Cannes Film Festival | Best Actress | (1993) | Winner |
| 1988 | Academy Awards | Best Actress | Broadcast News | Nominated |