- In 2002, received Grammy for Best Instrumental Arrangement Accompanying Vocalist(s)
- In 1997, received CableACE Award for Original Score
- In 1995, received Grammy for Best Instrumental Arrangement
- In 1994, received Grammy for Best Arrangement on an Instrumental
- In 1992, received Grammy for Best Arrangement on an Instrumental
- In 1990, received Grammy for Best Arrangement on an Instrumental
- In 1990, received Grammy for Best Instrumental Arrangement Accompanying Vocal(s)
- In 1990, received Grammy for Best Album of Original Instrumental Background Score Written for a Motion Picture or Television
- In 1988, received Oscar for Best Original Score
- In 1986, received Grammy for Best Arrangement on an Instrumental
- In 1983, received Grammy for Best Arrangement on an Instrumental
- In 1968, received Grammy for Best Original Score Written for a Picture or a Television Special
