2022
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for House of Gucci

2020
• Emmy (Primetime), Outstanding Lead Actor in a Limited Series or Movie for Watchmen

2014
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for The Hollow Crown

2012
• Golden Globe, Best Performance by an Actor in a Television Series - Drama for The Borgias

2010
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for Georgia O'Keeffe
• Golden Globe, Best Performance by an Actor in a Limited Series or Motion Picture Made for Television for Georgia O'Keeffe

2007
• Golden Globe, Best Performance by an Actor in a Supporting Role in a Series, Limited Series or Motion Picture Made for Television for Elizabeth I
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Limited Series for Elizabeth I

2006
• Emmy (Primetime), Outstanding Supporting Actor in a Miniseries or a Movie for Elizabeth I

1991
• Academy Award, Actor in a Leading Role for Reversal of Fortune
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Reversal of Fortune

1987
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for The Mission

1983
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for Brideshead Revisited

1981
• British Academy of Film & Television Arts, Actor for The French Lieutenant's Woman
• British Academy of Film & Television Arts, Actor for Brideshead Revisited