Academy of Motion Picture Arts and Sciences
| Nominated |
Best Actor Atlantic City |
1981 |
| Nominated |
Best Actor Birdman of Alcatraz |
1962 |
| Won |
Best Actor Elmer Gantry |
1960 |
| Nominated |
Best Actor From Here to Eternity |
1953 |
Berlin International Film Festival
| Won |
Silver Bear for Best Actor Trapeze |
1956 |
British Academy of Film and Television Arts
| Won |
Best Actor Atlantic City |
1981 |
| Won |
Best Foreign Actor Birdman of Alcatraz |
1962 |
Genie Awards
| Nominated |
Best Actor - Foreign Atlantic City |
1981 |
Hollywood Foreign Press Association
| Nominated |
Best Performance by an Actor in a Motion Picture - Drama Atlantic City |
1981 |
| Nominated |
Best Performance by an Actor in a Motion Picture - Drama Birdman of Alcatraz |
1962 |
| Won |
Best Performance by an Actor in a Motion Picture - Drama Elmer Gantry |
1960 |
| Nominated |
Best Performance by an Actor in a Motion Picture - Drama The Rainmaker |
1956 |
Los Angeles Film Critics Association
| Won |
Best Actor Atlantic City |
1981 |
New York Film Critics Circle
| Won |
Best Actor Atlantic City |
1981 |
| Won |
Best Actor Elmer Gantry |
1960 |
| Won |
Best Actor From Here to Eternity |
1953 |
Venice International Film Festival
| Won |
Volpi Cup for Best Actor Birdman of Alcatraz |
1962 |

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