Academy of Motion Picture Arts and Sciences
| Nominated |
Best Original Score Days of Heaven |
1978 |
| Nominated |
Best Score Malena |
2000 |
| Nominated |
Best Score Bugsy |
1991 |
| Nominated |
Best Score The Untouchables |
1987 |
| Nominated |
Best Score The Mission |
1986 |
British Academy of Film and Television Arts
| Won |
Anthony Asquith Award Days of Heaven |
1979 |
| Won |
Best Score The Untouchables |
1987 |
| Nominated |
Best Score The Mission |
1986 |
European Film Academy
| Won |
Lifetime Achievement |
1999 |
Hollywood Foreign Press Association
| Nominated |
Best Original Score Malena |
2000 |
| Won |
Best Original Score The Legend of 1900 |
1999 |
| Nominated |
Best Original Score Casualties of War |
1989 |
| Nominated |
Best Original Score Once Upon a Time in America |
1984 |
| Nominated |
Best Original Song Butterfly |
1981 |
| Won |
Best Score The Mission |
1986 |
Italian Film Academy
| Won |
Best Music The Legend of 1900 |
1998 |
Los Angeles Film Critics Association
| Won |
Best Music Score Once Upon a Time in America |
1984 |
| Won |
Career Achievement Award |
2001 |
National Board of Review
| Won |
Career Achievement in Film Scoring |
2000 |
Venice International Film Festival
| Won |
Golden Lion |
1995 |
