Awards
| Year | Award | Category | Movie | Result |
|---|---|---|---|---|
| 2011 | Golden Globes | Best Performance by an Actress in a Motion Picture - Musical or Comedy | Carnage (2011) | Nominated |
| 2007 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | The Brave One (2007) | Nominated |
| 1997 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Contact (1997) | Nominated |
| 1994 | Academy Awards | Best Actress | Nell | Nominated |
| 1994 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Nell | Nominated |
| 1994 | Screen Actors Guild | Best Actress | Nell | Won |
| 1991 | Academy Awards | Best Actress | The Silence of the Lambs | Won |
| 1991 | British Academy of Film and Television Arts | Best Actress | The Silence of the Lambs | Won |
| 1991 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | The Silence of the Lambs | Won |
| 1991 | New York Film Critics Circle | Best Actress | The Silence of the Lambs | Won |
| 1988 | Academy Awards | Best Actress | The Accused (2002) | Won |
| 1988 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | The Accused (2002) | Won |
| 1988 | Independent Spirit Awards | Best Actress | Five Corners | Won |
| 1988 | National Board of Review | Best Actress | The Accused (2002) | Won |
| 1976 | Academy Awards | Best Supporting Actress | Taxi Driver (1976) | Nominated |
| 1976 | British Academy of Film and Television Arts | Best Supporting Actress | Bugsy Malone | Won |
| 1976 | British Academy of Film and Television Arts | Most Promising Newcomer | Bugsy Malone | Won |
| 1976 | British Academy of Film and Television Arts | Best Supporting Actress | Taxi Driver (1976) | Won |
| 1976 | British Academy of Film and Television Arts | Most Promising Newcomer | Taxi Driver (1976) | Won |
| 1976 | Golden Globes | Best Performance by an Actress in a Motion Picture - Musical or Comedy | Freaky Friday (1976) | Nominated |
| 1976 | Los Angeles Film Critics Association | New Generation Award | Taxi Driver (1976) | Won |
| 1976 | National Society of Film Critics | Best Supporting Actress | Taxi Driver (1976) | Won |
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