| Year | Award | Ceremony | Nomination | Movie |
|---|
| 2016 | Critics Choice Award | Broadcast Film Critics Association Awards | Best Score | Spotlight (2015) |
| 2015 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Film Music | The Hobbit: The Battle of the Five Armies (2014) |
| 2015 | DFCS Award | Denver Film Critics Society | Best Original Score | Spotlight (2015) |
| 2015 | PFCS Award | Phoenix Film Critics Society Awards | Best Original Score | Spotlight (2015) |
| 2015 | Satellite Award | Satellite Awards | Best Original Score | Spotlight (2015) |
| 2014 | Public Choice Award | World Soundtrack Awards | | The Hobbit: The Desolation of Smaug (2013) |
| 2014 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | The Hobbit: The Desolation of Smaug (2013) |
| 2014 | CinEuphoria | CinEuphoria Awards | Best Original Music - International Competition | The Hobbit: The Desolation of Smaug (2013) |
| 2014 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Original Score for a Fantasy/Science Fiction/Horror Film | The Hobbit: The Battle of the Five Armies (2014) |
| 2013 | SLFCA Award | St. Louis Film Critics Association, US | Best Music | The Hobbit: The Desolation of Smaug (2013) |
| 2013 | World Soundtrack Award | World Soundtrack Awards | Best Original Film Score of the Year | The Hobbit: An Unexpected Journey (2012) |
| 2013 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | The Hobbit: An Unexpected Journey (2012) |
| 2013 | COFCA Award | Central Ohio Film Critics Association | Best Score | The Hobbit: An Unexpected Journey (2012) |
| 2013 | DFCS Award | Denver Film Critics Society | Best Original Score | The Hobbit: The Desolation of Smaug (2013) |
| 2013 | Grammy | Grammy Awards | Best Score Soundtrack for Visual Media | Hugo (2011) |
| 2013 | IFMCA Award | International Film Music Critics Award (IFMCA) | Film Score of the Year | The Hobbit: The Desolation of Smaug (2013) |
| 2013 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Original Score for a Fantasy/Science Fiction/Horror Film | The Hobbit: The Desolation of Smaug (2013) |
| 2013 | IFMCA Award | International Film Music Critics Award (IFMCA) | Film Music Composition of the Year | The Hobbit: The Desolation of Smaug (2013) |
| 2013 | PFCS Award | Phoenix Film Critics Society Awards | Best Original Score | The Hobbit: The Desolation of Smaug (2013) |
| 2012 | WAFCA Award | Washington DC Area Film Critics Association Awards | Best Score | The Hobbit: An Unexpected Journey (2012) |
| 2012 | World Soundtrack Award | World Soundtrack Awards | Best Original Soundtrack of the Year | Hugo (2011) |
| 2012 | World Soundtrack Award | World Soundtrack Awards | Soundtrack Composer of the Year | A Dangerous Method (2011) |
| 2012 | Oscar | Academy Awards, USA | Best Achievement in Music Written for Motion Pictures, Original Score | Hugo (2011) |
| 2012 | Golden Globe | Golden Globes, USA | Best Original Score - Motion Picture | Hugo (2011) |
| 2012 | Anthony Asquith Award for Film Music | BAFTA Awards | | Hugo (2011) |
| 2012 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | Hugo (2011) |
| 2012 | Critics Choice Award | Broadcast Film Critics Association Awards | Best Score | Hugo (2011) |
| 2012 | COFCA Award | Central Ohio Film Critics Association | Best Score | Hugo (2011) |
| 2012 | Gold Derby Award | Gold Derby Awards | Original Score | Hugo (2011) |
| 2012 | Gold Derby Award | Gold Derby Awards | Original Score | Hugo (2011) |
| 2012 | HMMA Award | Hollywood Music In Media Awards (HMMA) | Best Original Score - Feature Film | The Hobbit: An Unexpected Journey (2012) |
| 2012 | IFMCA Award | International Film Music Critics Award (IFMCA) | Film Score of the Year | The Hobbit: An Unexpected Journey (2012) |
| 2012 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Original Score for a Fantasy/Science Fiction/Horror Film | The Hobbit: An Unexpected Journey (2012) |
| 2012 | OFTA Film Award | Online Film & Television Association | Best Music, Original Score | Hugo (2011) |
| 2011 | WAFCA Award | Washington DC Area Film Critics Association Awards | Best Score | Hugo (2011) |
| 2011 | CFCA Award | Chicago Film Critics Association Awards | Best Original Score | Hugo (2011) |
| 2011 | IFMCA Award | International Film Music Critics Award (IFMCA) | Film Score of the Year | Hugo (2011) |
| 2011 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Original Score for a Fantasy/Science Fiction/Horror Film | Hugo (2011) |
| 2011 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Archival Re-Recording of an Existing Score | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 2011 | SDFCS Award | San Diego Film Critics Society Awards | Best Score | Hugo (2011) |
| 2010 | Satellite Award | Satellite Awards | Best Original Song | The Twilight Saga: Eclipse (2010) |
| 2009 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Film Music Compilation Album or Box Set | |
| 2008 | Golden Globe | Golden Globes, USA | Best Original Score - Motion Picture | Eastern Promises (2007) |
| 2008 | Grammy | Grammy Awards | Best Score Soundtrack Album for Motion Picture, Television or Other Visual Media | The Departed (2006) |
| 2007 | Critics Choice Award | Broadcast Film Critics Association Awards | Best Composer | The Departed (2006) |
| 2007 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Original Score for a Drama Film | Eastern Promises (2007) |
| 2007 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best New Release/Re-Release/Re-Recording of an Existing Score | The Lord of the Rings: The Return of the King (2003) |
| 2007 | OFTA Film Award | Online Film & Television Association | Best Music, Original Score | The Departed (2006) |
| 2007 | Satellite Award | Satellite Awards | Best Original Score | Eastern Promises (2007) |
| 2006 | ACCA | Awards Circuit Community Awards | Best Original Score | The Departed (2006) |
| 2006 | Grammy | Grammy Awards | Best Score Soundtrack Album for Motion Picture, Television or Other Visual Media | The Aviator (2004) |
| 2006 | IFMCA Award | International Film Music Critics Award (IFMCA) | Best Original Score for a Drama Film | The Departed (2006) |
| 2005 | Golden Satellite Award | Satellite Awards | Best Original Score | The Aviator (2004) |
| 2005 | World Soundtrack Award | World Soundtrack Awards | Soundtrack Composer of the Year | The Aviator (2004) |
| 2005 | World Soundtrack Award | World Soundtrack Awards | Best Original Soundtrack of the Year | The Aviator (2004) |
| 2005 | Anthony Asquith Award for Film Music | BAFTA Awards | | The Aviator (2004) |
| 2005 | ACCA | Awards Circuit Community Awards | Best Original Score | A History of Violence (2005) |
| 2005 | Gold Derby Award | Gold Derby Awards | Original Score | The Aviator (2004) |
| 2005 | OFTA Film Award | Online Film & Television Association | Best Music, Original Score | The Aviator (2004) |
| 2005 | OFCS Award | Online Film Critics Society Awards | Best Original Score | The Aviator (2004) |
| 2004 | Golden Satellite Award | Satellite Awards | Best Original Score | The Lord of the Rings: The Return of the King (2003) |
| 2004 | World Soundtrack Award | World Soundtrack Awards | Best Original Song Written for Film | The Lord of the Rings: The Return of the King (2003) |
| 2004 | Anthony Asquith Award for Film Music | BAFTA Awards | | The Lord of the Rings: The Return of the King (2003) |
| 2004 | ACCA | Awards Circuit Community Awards | Best Original Score | The Aviator (2004) |
| 2004 | COFCA Award | Central Ohio Film Critics Association | Best Score | The Lord of the Rings: The Return of the King (2003) |
| 2004 | Chainsaw Award | Fangoria Chainsaw Awards | Best Score | Spider (2002) |
| 2004 | Gold Derby Award | Gold Derby Awards | Original Song | The Lord of the Rings: The Return of the King (2003) |
| 2004 | IFMCA Award | International Film Music Critics Award (IFMCA) | Film Score of the Year | The Aviator (2004) |
| 2003 | World Soundtrack Award | World Soundtrack Awards | Soundtrack Composer of the Year | Gangs of New York (2002) |
| 2003 | World Soundtrack Award | World Soundtrack Awards | Best Original Soundtrack of the Year | Gangs of New York (2002) |
| 2003 | World Soundtrack Award | World Soundtrack Awards | Best Original Song Written for a Film | The Lord of the Rings: The Two Towers (2002) |
| 2003 | Anthony Asquith Award for Film Music | BAFTA Awards | | Gangs of New York (2002) |
| 2003 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | The Lord of the Rings: The Two Towers (2002) |
| 2003 | Critics Choice Award | Broadcast Film Critics Association Awards | Best Composer | The Lord of the Rings: The Two Towers (2002) |
| 2003 | CFCA Award | Chicago Film Critics Association Awards | Best Original Score | The Lord of the Rings: The Two Towers (2002) |
| 2003 | Gold Derby Award | Gold Derby Awards | Original Score | The Lord of the Rings: The Two Towers (2002) |
| 2003 | Gold Derby Award | Gold Derby Awards | Original Song | The Lord of the Rings: The Two Towers (2002) |
| 2003 | IOMA | Italian Online Movie Awards (IOMA) | Best Original Score (Miglior colonna sonora originale) | Gangs of New York (2002) |
| 2003 | OFTA Film Award | Online Film & Television Association | Best Music, Original Score | The Lord of the Rings: The Two Towers (2002) |
| 2003 | OFTA Film Award | Online Film & Television Association | Best Music, Original Song | The Lord of the Rings: The Two Towers (2002) |
| 2003 | OFCS Award | Online Film Critics Society Awards | Best Original Score | The Lord of the Rings: The Two Towers (2002) |
| 2003 | PFCS Award | Phoenix Film Critics Society Awards | Best Original Score | The Lord of the Rings: The Two Towers (2002) |
| 2002 | World Soundtrack Award | World Soundtrack Awards | Soundtrack Composer of the Year | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 2002 | Golden Globe | Golden Globes, USA | Best Original Score - Motion Picture | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 2002 | Anthony Asquith Award for Film Music | BAFTA Awards | | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 2002 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 2002 | AFI Award | AFI Awards, USA | Composer of the Year | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 2002 | OFCS Award | Online Film Critics Society Awards | Best Original Score | The Lord of the Rings: The Fellowship of the Ring (2001) |
| 1997 | CFCA Award | Chicago Film Critics Association Awards | Best Original Score | That Thing You Do! (1996) |
| 1996 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | Se7en (1995) |
| 1996 | Grammy | Grammy Awards | Best Instrumental Composition Written for a Motion Picture or for Television | Ed Wood (1994) |
| 1994 | ACCA | Awards Circuit Community Awards | Best Original Score | Ed Wood (1994) |
| 1992 | BAFTA Film Award | BAFTA Awards | Best Original Film Score | The Silence of the Lambs (1991) |
| 1992 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | The Silence of the Lambs (1991) |
| 1992 | Genie | Genie Awards | Best Music Score | Naked Lunch (1991) |
| 1990 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | Dead Ringers (1988) |
| 1987 | Saturn Award | Academy of Science Fiction, Fantasy & Horror Films, USA | Best Music | The Fly (1986) |
| 1980 | Genie | Genie Awards | Best Music Score | The Brood (1979) |
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