Awards
| Year | Award |
| 2004 |
Screen Actors Guild Awards
Outstanding Performance by a Female Actor in a Television Movie or Miniseries - Nominated |
| 2003 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Nominated |
| 2001 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Nominated |
| 1999 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Won |
| 1997 |
Screen Actors Guild Awards
Outstanding Performance by a Female Actor in a Television Movie or Miniseries - Nominated |
| 1996 |
Screen Actors Guild Awards
Outstanding Performance by a Cast in a Motion Picture - Nominated |
| 1994 |
Emmy (Primetime)
Outstanding Supporting Actress in a Miniseries or a Movie - Nominated |
| 1987 |
British Academy of Film & Television Arts
Actress in a Leading Role - Won |
| 1987 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Drama - Nominated |
| 1986 |
Academy Award
Actress in a Leading Role - Nominated |
| 1986 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Drama - Nominated |
| 1985 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Musical or Comedy - Nominated |
| 1984 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Musical or Comedy - Nominated |
| 1979 |
British Academy of Film & Television Arts
Actress - Nominated |
| 1978 |
Academy Award
Actress in a Leading Role - Nominated |
| 1978 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Drama - Nominated |
| 1976 |
British Academy of Film & Television Arts
Actress - Nominated |
| 1973 |
British Academy of Film & Television Arts
Actress - Nominated |
| 1969 |
British Academy of Film & Television Arts
Actress - Nominated |
| 1968 |
Academy Award
Actress - Nominated |
| 1968 |
Golden Globe
Actress in a Leading Role - Musical or Comedy - Won |
| 1965 |
Academy Award
Actress - Nominated |
| 1965 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Drama - Won |
| 1965 |
British Academy of Film & Television Arts
Foreign Actress - Won |
| 1963 |
Academy Award
Actress - Won |
| 1963 |
Golden Globe
Best Performance By an Actress in a Motion Picture - Drama - Nominated |
| 1963 |
British Academy of Film & Television Arts
Foreign Actress - Won |
| 1962 |
Festival de Cine de San Sebastián
Best Actress - Won |