2003
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for The Quiet American
• Academy Award, Actor in a Leading Role for The Quiet American
• British Academy of Film & Television Arts, Actor in a Leading Role for The Quiet American

2000
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Supporting Role for The Cider House Rules
• Academy Award, Actor in a Supporting Role for The Cider House Rules
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for The Cider House Rules
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for The Cider House Rules
• British Academy of Film & Television Arts, Actor in a Supporting Role for The Cider House Rules

1999
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Little Voice
• British Academy of Film & Television Arts, Actor in a Leading Role for Little Voice
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Little Voice

1998
• Golden Globe, Best Performance by an Actor in a Supporting Role in a Series, Limited Series or Motion Picture Made for Television for Mandela and de Klerk

1997
• Emmy (Primetime), Outstanding Supporting Actor for a Miniseries or Special for Mandela and de Klerk

1996
• Festival de Cine de San Sebastián, Best Actor for Blood and Wine

1994
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for World War II: When Lions Roared

1991
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for Jekyll & Hyde

1990
• Emmy (Primetime), Outstanding Lead Actor for a Miniseries or Special for Jekyll & Hyde

1989
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Dirty Rotten Scoundrels
• Golden Globe, Best Performance by an Actor in a Miniseries or Motion Picture Made for Television for Jack the Ripper

1987
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Hannah and Her Sisters
• Academy Award, Actor in a Supporting Role for Hannah and Her Sisters

1986
• British Academy of Film & Television Arts, Actor in a Leading Role for Hannah and Her Sisters

1984
• Academy Award, Actor in a Leading Role for Educating Rita
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Educating Rita

1983
• British Academy of Film & Television Arts, Actor for Beyond the Limit
• British Academy of Film & Television Arts, Actor for Educating Rita

1974
• Academy Award, Actor for Sleuth

1973
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Sleuth

1967
• British Academy of Film & Television Arts, British Actor for Alfie
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Gambit
• Academy Award, Actor for Alfie
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Alfie

1966
• British Academy of Film & Television Arts, British Actor for The Ipcress File