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

2015
• Australian Academy of Cinema and Television Arts Awards, Best Supporting Actress for The Dressmaker

2011
• Emmy (Primetime), Outstanding Supporting Actress in a Miniseries or a Movie for Page Eight

2007
• Emmy (Primetime), Outstanding Supporting Actress in a Miniseries or a Movie

2006
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for A Little Thing Called Murder

2004
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for The Reagans

2003
• Golden Globe, Best Performance by an Actress in a Miniseries or Motion Picture Made for Television for The Reagans

2001
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for Life With Judy Garland: Me and My Shadows
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for Life With Judy Garland: Me and My Shadows

2000
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for A Cooler Climate

1999
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for A Cooler Climate
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for Dash and Lilly
• Golden Globe, Best Performance by an Actress in a Miniseries or Motion Picture Made for Television for Dash and Lilly

1998
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for The Echo of Thunder

1995
• Emmy (Primetime), Outstanding Supporting Actress in a Miniseries or a Movie for Serving in Silence: The Margarethe Cammermeyer Story
• Golden Globe, Best Performance by An Actress in a Supporting Role in a Series, Miniseries or Motion Picture Made for Television for Serving in Silence: The Margarethe Cammermeyer Story

1992
• Golden Globe, Best Performance By an Actress in a Motion Picture - Comedy or Musical for Husbands and Wives
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for One Against the Wind
• Academy Award, Actress in a Supporting Role for Husbands and Wives
• British Academy of Film & Television Arts, Actress in a Leading Role for Husbands and Wives

1991
• Golden Globe, Best Performance by an Actress in a Miniseries or Motion Picture Made for Television for One Against the Wind

1984
• Academy Award, Actress in a Leading Role for A Passage to India

1980
• British Academy of Film & Television Arts, Actress for My Brilliant Career
• British Academy of Film & Television Arts, Most Outstanding Newcomer to Leading Film Roles for My Brilliant Career