- 1987
- - 84 Charing Cross Road
  - Actress in a Leading Role
  - British Academy of Film & Television Arts
- 1986
- - 'Night, Mother
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- 1985
- - Agnes of God
  - Best Actress
  - Academy Award
- - Agnes of God
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- 1984
- - Garbo Talks
  - Best Performance By an Actress in a Motion Picture - Comedy or Musical
  - Golden Globe
- 1983
- - To Be or Not to Be
  - Best Performance By an Actress in a Motion Picture - Comedy or Musical
  - Golden Globe
- 1978
- - Turning Point
  - Actress
  - British Academy of Film & Television Arts
- 1977
- - Turning Point
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- - Turning Point
  - Best Actress
  - Academy Award
- 1975
- - Prisoner of Second Avenue
  - Actress
  - British Academy of Film & Television Arts
- 1972
- - Young Winston
  - Actress
  - British Academy of Film & Television Arts
- 1968
- - Graduate
  - Actress
  - British Academy of Film & Television Arts
- 1967
- - Graduate
  - Actress in a Leading Role - Musical or Comedy
  - Golden Globe
- - Graduate
  - Best Actress
  - Academy Award
- 1964
- - Pumpkin Eater
  - Foreign Actress
  - British Academy of Film & Television Arts
- - Pumpkin Eater
  - Best Actress
  - Academy Award
- - Pumpkin Eater
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- 1962
- - Miracle Worker
  - Best Performance By an Actress in a Motion Picture - Drama
  - Golden Globe
- - Miracle Worker
  - Foreign Actress
  - British Academy of Film & Television Arts
- - Miracle Worker
  - Best Actress
  - Academy Award