| ASCAP Film and Television Music Awards | |||
| Year | Result | Award | Category/Recipient(s) |
|---|---|---|---|
| 2000 | Won | ASCAP Award |
Top Box Office Films for: Notting Hill (1999) |
| 1994 | Won | ASCAP Award |
Top Box Office Films for: Cliffhanger (1993) |
| Awards of the Japanese Academy | |||
| Year | Result | Award | Category/Recipient(s) |
| 2006 | Nominated | Award of the Japanese Academy |
Best Score for: Bôkoku no îgisu (2005) Shared with: Ryo Katsuji |
| BAFTA Awards | |||
| Year | Result | Award | Category/Recipient(s) |
| 1997 | Nominated | Anthony Asquith Award for Film Music |
for: Brassed Off (1996) |
| 1993 | Nominated | BAFTA Film Award |
Best Original Film Score for: The Last of the Mohicans (1992) Shared with: Randy Edelman |
| 1990 | Nominated | BAFTA Film Award |
Best Original Film Score for: Mississippi Burning (1988) |
| Emmy Awards | |||
| Year | Result | Award | Category/Recipient(s) |
| 1998 | Nominated | Emmy |
Outstanding Music Composition for a Miniseries or a Movie (Dramatic Underscore) for: Merlin (1998/II) (TV) For part I. |
| Golden Globes, USA | |||
| Year | Result | Award | Category/Recipient(s) |
| 1999 | Nominated | Golden Globe |
Best Original Song - Motion Picture for: The Mighty (1998) Shared with: Sting (music/lyrics) For the song "The Mighty". |
| 1993 | Nominated | Golden Globe |
Best Original Score - Motion Picture for: The Last of the Mohicans (1992) Shared with: Randy Edelman |