2005
• Golden Globe, Best Performance by an Actress in a Supporting Role in a Series, Limited Series or Motion Picture Made for Television for Iron Jawed Angels

2004
• Emmy (Primetime), Outstanding Supporting Actress in a Miniseries or a Movie for Iron Jawed Angels

2002
• Emmy (Primetime), Outstanding Supporting Actress in a Miniseries or a Movie for The Mists of Avalon
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for The Mists of Avalon

1996
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Supporting Role for The Crossing Guard
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for Buffalo Girls
• Golden Globe, Best Performance By an Actress in a Supporting Role in a Motion Picture for The Crossing Guard

1995
• Emmy (Primetime), Outstanding Lead Actress in a Miniseries or Movie for Buffalo Girls
• British Academy of Film & Television Arts, Actress in a Supporting Role for Manhattan Murder Mystery

1994
• Golden Globe, Best Performance By an Actress in a Motion Picture - Musical or Comedy for Addams Family Values
• Golden Globe, Best Performance by an Actress in a Miniseries or Motion Picture Made for Television for Family Pictures

1992
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for The Addams Family

1991
• British Academy of Film & Television Arts, Actress in a Supporting Role for Crimes and Misdemeanors
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for The Grifters
• Academy Award, Actress in a Leading Role for The Grifters

1990
• Golden Globe, Best Performance by an Actress in a Miniseries or Motion Picture Made for Television for Lonesome Dove
• Academy Award, Actress in a Supporting Role for Enemies, a Love Story

1989
• Emmy (Primetime), Outstanding Lead Actress for a Miniseries or Special for Lonesome Dove

1986
• Golden Globe, Best Performance By an Actress in a Supporting Role in a Motion Picture for Prizzi's Honor
• Academy Award, Actress in a Supporting Role for Prizzi's Honor

1985
• British Academy of Film & Television Arts, Actress in a Supporting Role for Prizzi's Honor