Awards
| Year | Award | Category | Movie | Result |
|---|---|---|---|---|
| 2009 | Academy of Television Arts and Sciences | Outstanding Lead Actress in a Miniseries or a Movie | Grey Gardens (2010) | Won |
| 2009 | Golden Globes | Best Performance by an Actress in a Miniseries or Motion Picture Made for Television | Grey Gardens (2010) | Nominated |
| 2009 | Screen Actors Guild | Best Actress in a Television Movie or Miniseries | Grey Gardens (2010) | Nominated |
| 2003 | Golden Globes | Best Performance by an Actress in a Miniseries or Motion Picture Made for Television | Normal (2002) | Nominated |
| 1997 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | A Thousand Acres | Nominated |
| 1995 | Golden Globes | Best Performance by an Actress in a Miniseries or Motion Picture Made for Television | A Streetcar Named Desire (1994) | Won |
| 1994 | Academy Awards | Best Actress | Blue Sky | Won |
| 1994 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Blue Sky | Won |
| 1994 | Screen Actors Guild | Best Actress | Blue Sky | Nominated |
| 1993 | Los Angeles Film Critics Association | Best Actress | Blue Sky | Won |
| 1989 | Academy Awards | Best Actress | Music Box (1989) | Nominated |
| 1989 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Music Box (1989) | Nominated |
| 1985 | Academy Awards | Best Actress | Sweet Dreams (1985) | Nominated |
| 1984 | Academy Awards | Best Actress | Country (1984) | Nominated |
| 1984 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Country (1984) | Nominated |
| 1982 | Academy Awards | Best Actress | Frances | Nominated |
| 1982 | Academy Awards | Best Supporting Actress | Tootsie | Won |
| 1982 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Frances | Nominated |
| 1982 | Golden Globes | Best Performance by an Actress in a Supporting Role in a Motion Picture | Tootsie | Won |
| 1982 | New York Film Critics Circle | Best Supporting Actress | Tootsie | Won |
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