2020
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Limited Series for Chernobyl
• Golden Globe, Best Performance by an Actress in a Supporting Role in a Series, Limited Series or Motion Picture Made for Television for Chernobyl

2019
• Emmy (Primetime), Outstanding Supporting Actress in a Limited Series or Movie for Chernobyl

2015
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for The Theory of Everything

2012
• British Academy of Film & Television Arts, Leading Actress for Appropriate Adult
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Television Movie or Miniseries for Appropriate Adult
• Golden Globe, Best Performance by an Actress in a Limited Series or Motion Picture Made for Television for Appropriate Adult

2011
• Australian Academy of Cinema and Television Arts Awards, Best Lead Actress for Oranges and Sunshine

2002
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Gosford Park

2000
• British Academy of Film & Television Arts, Actress in a Leading Role for Angela's Ashes

1999
• Screen Actors Guild Awards, Outstanding Performance by a Female Actor in a Leading Role for Hilary and Jackie
• British Academy of Film & Television Arts, Actress in a Leading Role for Hilary and Jackie
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for Hilary and Jackie

1998
• Academy Award, Actress in a Leading Role for Hilary and Jackie

1997
• Bodil Awards, Best Actress for Breaking the Waves
• British Academy of Film & Television Arts, Actress in a Leading Role for Breaking the Waves
• Golden Globe, Best Performance By an Actress in a Motion Picture - Drama for Breaking the Waves
• Robert Award, Best Actress in a Leading Role for Breaking the Waves

1996
• Academy Award, Actress in a Leading Role for Breaking the Waves