2012
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for Too Big to Fail

2011
• Emmy (Primetime), Outstanding Supporting Actor in a Miniseries or a Movie for Too Big to Fail

2003
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for Rudy: The Rudy Giuliani Story

2001
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for Dirty Pictures
• Golden Globe, Best Performance by an Actor in a Limited Series or Motion Picture Made for Television for Dirty Pictures

1997
• Academy Award, Actor in a Supporting Role for Ghosts of Mississippi
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Ghosts of Mississippi
• Golden Globe, Best Performance by an Actor in a Limited Series or Motion Picture Made for Television for The Summer of Ben Tyler

1996
• Golden Globe, Best Performance by an Actor in a Limited Series or Motion Picture Made for Television for Indictment: The McMartin Trial
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Nixon

1995
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for Indictment: The McMartin Trial

1993
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for Citizen Cohn
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for Citizen Cohn

1990
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for My Name Is Bill W.

1989
• Emmy (Primetime), Outstanding Lead Actor for a Miniseries or Special for My Name Is Bill W.

1987
• Emmy (Primetime), Outstanding Lead Actor for a Miniseries or Special for Promise
• Academy Award, Actor in a Leading Role for Salvador
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for In Love and War
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for Promise

1980
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for The Onion Field