Academy of Motion Picture Arts and Sciences
| Nominated |
Best Drama Score Mary, Queen of Scots |
1971 |
| Won |
Best Original Score The Lion in Winter |
1968 |
| Won |
Best Original Score Born Free |
1966 |
| Nominated |
Best Score Chaplin |
1992 |
| Won |
Best Score Dances With Wolves |
1990 |
| Won |
Best Score Out of Africa |
1985 |
| Won |
Best Song Born Free |
1966 |
British Academy of Film and Television Arts
| Won |
Anthony Asquith Award The Lion in Winter |
1968 |
| Nominated |
Best Score Out of Africa |
1986 |
Hollywood Foreign Press Association
| Nominated |
Best Original Score Chaplin |
1992 |
| Nominated |
Best Original Score Dances With Wolves |
1990 |
| Won |
Best Original Score Out of Africa |
1985 |
| Nominated |
Best Original Score Somewhere in Time |
1980 |
| Nominated |
Best Original Score Mary, Queen of Scots |
1971 |
| Nominated |
Best Original Score The Lion in Winter |
1968 |
| Nominated |
Best Original Score Born Free |
1966 |
| Nominated |
Best Original Song The Deep |
1977 |
| Nominated |
Best Original Song The Dove |
1974 |
