2004
• British Academy of Film & Television Arts, Actor in a Supporting Role for Big Fish
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Big Fish

2003
• Golden Globe, Best Performance by an Actor in a Limited Series or Motion Picture Made for Television for The Gathering Storm
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for The Gathering Storm

2002
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for The Gathering Storm

2001
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Supporting Role for Erin Brockovich
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Erin Brockovich
• Academy Award, Actor in a Supporting Role for Erin Brockovich
• British Academy of Film & Television Arts, Actor in a Supporting Role for Erin Brockovich
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Traffic

1999
• British Academy of Film & Television Arts, Best Actor for A Rather English Marriage

1997
• British Academy of Film & Television Arts, Actor for Cold Lazarus

1991
• British Academy of Film & Television Arts, Actor for The Green Man

1990
• Emmy (Primetime), Outstanding Lead Actor for a Miniseries or Special for The Image

1985
• Academy Award, Actor in a Leading Role for Under the Volcano
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Under the Volcano

1984
• British Academy of Film & Television Arts, Actor for The Dresser
• Academy Award, Actor in a Leading Role for The Dresser
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for The Dresser

1983
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Shoot the Moon

1982
• British Academy of Film & Television Arts, Actor for Shoot the Moon

1975
• Academy Award, Actor for Murder on the Orient Express

1974
• British Academy of Film & Television Arts, Actor for Murder on the Orient Express

1972
• British Academy of Film & Television Arts, Actor for Gumshoe

1971
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Scrooge

1964
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Tom Jones
• Academy Award, Actor for Tom Jones
• British Academy of Film & Television Arts, British Actor for Tom Jones

1961
• British Academy of Film & Television Arts, Most Promising Newcomer to Leading Film Roles for Saturday Night and Sunday Morning
• British Academy of Film & Television Arts, British Actor for Saturday Night and Sunday Morning