2018
• Emmy (Primetime), Outstanding Lead Actor in a Drama Series for Westworld

2017
• Screen Actors Guild Awards, Outstanding Performance by an Ensemble in a Drama Series for Westworld

2013
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for Game Change
• Golden Globe, Best Performance by an Actor in a Supporting Role in a Series, Limited Series or Motion Picture Made for Television for Game Change

2012
• Emmy (Primetime), Outstanding Supporting Actor in a Miniseries or a Movie for Game Change

2006
• Golden Globe, Best Performance by an Actor in a Limited Series or Motion Picture Made for Television for Empire Falls
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for Empire Falls

2005
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for Empire Falls

2003
• British Academy of Film & Television Arts, Actor in a Supporting Role for The Hours
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for The Hours
• Academy Award, Actor in a Supporting Role for The Hours
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Supporting Role for The Hours
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for The Hours

2002
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for A Beautiful Mind

2001
• Academy Award, Actor in a Leading Role for Pollock

1999
• British Academy of Film & Television Arts, Actor in a Supporting Role for The Truman Show
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for The Truman Show
• Academy Award, Actor in a Supporting Role for The Truman Show

1997
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for Riders of the Purple Sage

1996
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Apollo 13
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Apollo 13
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Supporting Role for Apollo 13
• Academy Award, Actor in a Supporting Role for Apollo 13
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Nixon

1990
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Jacknife