2018
• Golden Globe, Best Performance by an Actress in a Limited Series or Motion Picture Made for Television for Feud: Bette and Joan
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Limited Series for Feud: Bette and Joan

2017
• Emmy (Primetime), Outstanding Lead Actress in a Limited Series or Movie for Feud: Bette and Joan

2016
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for The Secret Life of Marilyn Monroe

2011
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for You Don't Know Jack

2010
• Emmy (Primetime), Outstanding Supporting Actress in a Miniseries or a Movie for You Don't Know Jack

2009
• Golden Globe, Best Performance by an Actress in a Limited Series or Motion Picture Made for Television for Bernard and Doris
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for Bernard and Doris

2008
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for Bernard and Doris

2003
• Golden Globe, Best Performance By an Actress in a Supporting Role in a Motion Picture for Igby Goes Down

1999
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for Stepmom

1996
• Academy Award, Actress in a Leading Role for Dead Man Walking
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for Dead Man Walking
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Leading Role for Dead Man Walking

1995
• Academy Award, Actress in a Leading Role for The Client
• British Academy of Film & Television Arts, Actress in a Leading Role for The Client
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Leading Role for The Client

1993
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for Lorenzo's Oil
• Academy Award, Actress in a Leading Role for Lorenzo's Oil

1992
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for Thelma & Louise
• Academy Award, Actress in a Leading Role for Thelma & Louise
• British Academy of Film & Television Arts, Actress in a Leading Role for Thelma & Louise

1991
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for White Palace

1989
• Golden Globe, Best Performance By an Actress in a Motion Picture - Musical or Comedy for Bull Durham

1982
• Academy Award, Actress in a Leading Role for Atlantic City