- 2011
- - Carnage
  - Best Performance By an Actress in a Motion Picture - Comedy or Musical
  - Golden Globe
- 2007
- - Brave One
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- 1997
- - Contact
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- 1994
- - Nell
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- - Nell
  - Outstanding Performance by a Female Actor in a Leading Role
  - Screen Actors Guild Awards
- - Nell
  - Best Actress
  - Academy Award
- 1991
- - Silence of the Lambs
  - Best Actress
  - Golden Globe
- - Silence of the Lambs
  - Best Actress
  - Academy Award
- - Silence of the Lambs
  - Actress in a Leading Role
  - British Academy of Film & Television Arts
- 1989
- - Accused
  - Actress in a Leading Role
  - British Academy of Film & Television Arts
- 1988
- - Accused
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- - Accused
  - Best Actress
  - Academy Award
- 1977
- - Freaky Friday
  - Best Performance By an Actress in a Motion Picture - Comedy or Musical
  - Golden Globe
- 1976
- - Taxi Driver
  - Best Supporting Actress
  - Academy Award
- - Bugsy Malone
  - Supporting Actress
  - British Academy of Film & Television Arts
- - Bugsy Malone
  - Most Promising Newcomer to Leading Film Roles
  - British Academy of Film & Television Arts