| Year | Movie | Award | Category | |||
| 2006 | Little Miss Sunshine | Screen Actors Guild | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | Academy of Motion Picture Arts and Scie | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | British Academy of Film and Television | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | Broadcast Film Critics Association | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | Independent Spirit Awards | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | National Society of Film Critics | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | Online Film Critics Association | Best Supporting Actor | |||
| 2006 | Little Miss Sunshine | Satellite Awards | Best Supporting Actor | |||
| 2002 | 13 Conversations About One Thing | National Society of Film Critics | Best Supporting Actor (Runner-up) | |||
| 2002 | 13 Conversations About One Thing | Independent Spirit Awards | Best Supporting Actor | |||
| 1986 | Joshua Then and Now | Genie Awards | Best Supporting Actor | |||
| 1982 | Improper Channels | Genie Awards | Best Actor - Foreign | |||
| 1975 | Hearts of the West | New York Film Critics Circle | Best Supporting Actor | |||
| 1969 | Popi | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Drama | |||
| 1968 | The Heart Is a Lonely Hunter | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Drama | |||
| 1968 | The Heart Is a Lonely Hunter | New York Film Critics Circle | Best Actor | |||
| 1968 | The Heart Is a Lonely Hunter | Academy of Motion Picture Arts and Scie | Best Actor | |||
| 1966 | The Russians Are Coming, the Russians Are Coming! | Hollywood Foreign Press Association | New Star of the Year - Male | |||
| 1966 | The Russians Are Coming, the Russians Are Coming! | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Com | |||
| 1966 | The Russians Are Coming, the Russians Are Coming! | Academy of Motion Picture Arts and Scie | Best Actor |