Academy of Motion Picture Arts and Sciences
| Nominated |
Best Adapted Score Les Dimanches de Ville d'Avray |
1963 |
| Won |
Best Original Score A Passage to India |
1984 |
| Nominated |
Best Original Score The Message |
1977 |
| Won |
Best Original Score Doctor Zhivago |
1965 |
| Won |
Best Original Score Lawrence of Arabia |
1962 |
| Nominated |
Best Score Ghost |
1990 |
| Nominated |
Best Score Gorillas in the Mist |
1988 |
| Nominated |
Best Score Witness |
1985 |
| Nominated |
Best Song The Life and Times of Judge Roy Bean |
1972 |
British Academy of Film and Television Arts
| Won |
Best Original Film Score Dead Poets Society |
1989 |
| Nominated |
Best Score A Passage to India |
1985 |
| Won |
Best Score Witness |
1985 |
Genie Awards
| Nominated |
Best Original Score Sunshine |
1999 |
Hollywood Foreign Press Association
| Nominated |
Best Original Score Sunshine |
2000 |
| Won |
Best Original Score A Walk in the Clouds |
1995 |
| Won |
Best Original Score Gorillas in the Mist |
1988 |
| Won |
Best Original Score A Passage to India |
1984 |
| Nominated |
Best Original Score The Man Who Would Be King |
1975 |
| Nominated |
Best Original Score Is Paris Burning? |
1966 |
| Won |
Best Original Score Doctor Zhivago |
1965 |
| Nominated |
Best Original Score Lawrence of Arabia |
1962 |
| Nominated |
Best Original Song The Life and Times of Judge Roy Bean |
1972 |