| Year | Association | Category | Nominated work | Result |
| 1974 | Academy Awards | Best Actress in a Leading Role | Cinderella Liberty | Nominated |
| 1974 | National Society of Film Critics | Best Actress | Cinderella Liberty | Nominated |
| 1974 | Golden Globe Award | Best Actress in a Motion Picture - Drama | Cinderella Liberty | Won |
| 1978 | Academy Awards | Best Actress in a Leading Role | The Goodbye Girl | Nominated |
| 1978 | Golden Globe Award | Best Actress in a Motion Picture - Comedy or Musical | The Goodbye Girl | Won |
| 1979 | British Academy Film Awards | Best Actress | The Goodbye Girl | Nominated |
| 1980 | Golden Globe Award | Best Actress in a Motion Picture - Drama | Promises in the Dark | Nominated |
| 1980 | Academy Awards | Best Actress in a Leading Role | Chapter Two | Nominated |
| 1980 | Golden Globe Award | Best Actress in a Motion Picture - Comedy or Musical | Chapter Two | Nominated |
| 1982 | Academy Awards | Best Actress in a Leading Role | Only When I Laugh | Nominated |
| 1991 | CableACE Award | Supporting Actress in a Movie or Miniseries | The Image | Nominated |
| 1997 | Primetime Emmy Award | Outstanding Guest Actress in a Comedy Series | Frasier | Nominated |
| 1997 | Viewers for Quality Television Q Awards | Best Recurring Player | Frasier | Nominated |
| 2001 | Temecula Valley International Film Festival | Lifetime Achievement Award | - | Won |
| 2002 | St. Louis International Film Festival | Lifetime Achievement Award | - | Won |