| British Academy of Film and Television Arts |
Alice in Wonderland |
Best Original Music |
2010 |
Nominated |
| Hollywood Foreign Press Association |
Alice in Wonderland |
Best Original Score |
2010 |
Nominated |
| Broadcast Film Critics Association |
Milk |
Best Composer |
2008 |
Nominated |
| Academy of Motion Picture Arts and Sciences |
Milk |
Best Original Score |
2008 |
Nominated |
| Chicago Film Critics Association |
Milk |
Best Original Score |
2008 |
Nominated |
| Phoenix Film Critics Association |
Charlie and the Chocolate Factory |
Best Score |
2005 |
Won |
| Chicago Film Critics Association |
Charlie and the Chocolate Factory |
Best Original Score |
2005 |
Nominated |
| Chicago Film Critics Association |
Big Fish |
Best Original Score |
2003 |
Nominated |
| Academy of Motion Picture Arts and Sciences |
Big Fish |
Best Score |
2003 |
Nominated |
| Hollywood Foreign Press Association |
Big Fish |
Best Score |
2003 |
Nominated |
| Academy of Motion Picture Arts and Sciences |
Men in Black |
Best Musical or Comedy Score |
1997 |
Nominated |
| Academy of Motion Picture Arts and Sciences |
Good Will Hunting |
Best Dramatic Score |
1997 |
Nominated |
| Hollywood Foreign Press Association |
The Nightmare Before Christmas |
Best Original Score |
1993 |
Nominated |