O BAFTA de melhor Banda Sonora ou Trilha Sonora (no original em inglês BAFTA Award for Best Film Music; também designado por Anthony Asquith Award for Film Music) é um dos prémios atribuídos ao compositor da melhor banda sonora original em cinema pela British Academy of Film and Television Arts na cerimónia anual de premiação da British Academy Film Awards.
Com 7 vitórias entre 16 nomeações, o compositor John Williams é o que tem mais nomeações e prémios nesta categoria. Ennio Morricone é o único compositor a ganhar o prémio em dois anos consecutivos; por A Missão em 1986 e Os Intocáveis em 1987. Morricone tem também a particularidade de ter vencido 6 vezes nas mesmas 6 em que foi nomeado. Em 2019, Lady Gaga se tornou a primeira mulher a vencer este prêmio por A Star Is Born.
Vencedores e indicados Década de 1960 Anthony Asquith Award for Original Film Music Ano Filme Vencedor(es)1969 The Lion in Winter John Barry |- |The Charge of the Light Brigade || John Addison |- |Vivre pour vivre || Francis Lai |- |Romeo and Juliet || Nino Rota |- | rowspan="4" style="text-align:center" |1970| style="background:#ccc;"| Z || style="background:#ccc;"| Míkis TheodorákisSecret Ceremony Richard Rodney BennettThe Thomas Crown Affair Michel LegrandWomen in Love Georges Delerue
Década de 1970 Ano Filme Vencedor(es)1971 Butch Cassidy and the Sundance Kid Burt Bacharach |- |Alice's Restaurant || Arlo Guthrie |- |Figures in a Landscape || Richard Rodney Bennett |- |The Railway Children || Johnny Douglas |- | rowspan="4" style="text-align:center" |1972| style="background:#ccc;"| Summer of '42 || style="background:#ccc;"| Michel LegrandLittle Big Man John HammondShaft Isaac HayesTrafic Charles Dumont1973 The Godfather Nino Rota |- | Lady Caroline Lamb || Richard Rodney Bennett |- |The Tragedy of Macbeth || The Third Ear Band |- |Young Winston || Alfred Ralston |- | rowspan="4" style="text-align:center" |1974| style="background:#ccc;"| O Lucky Man! || style="background:#ccc;"| Alan PricePat Garrett and Billy the Kid Bob DylanSounder Taj MahalÉtat de siège Míkis Theodorákis1975 Murder on the Orient Express Richard Rodney Bennett |- |Chinatown || Jerry Goldsmith |- |La bonne année || Francis Lai |- |Serpico || Míkis Theodorákis |- |The Three Musketeers || Michel Legrand |- | rowspan="4" style="text-align:center" |1976| style="background:#ccc;"| Jaws e The Towering Inferno || style="background:#ccc;"| John WilliamsThe Godfather Part II Nino RotaThe Taking of Pelham One Two Three David ShireThe Wind and the Lion Jerry Goldsmith1977 Taxi Driver Bernard Herrmann |- |Bugsy Malone || Paul Williams |- |One Flew Over the Cuckoo's Nest || Jack Nitzsche |- |The Slipper and the Rose || Richard M. Sherman e Robert B. Sherman |- | rowspan="4" style="text-align:center" |1978| style="background:#ccc;"| A Bridge Too Far || style="background:#ccc;"| John AddisonEquus Richard Rodney BennettThe Spy Who Loved Me Marvin HamlischA Star Is Born Paul Williams, Barbra Streisand, Kenny Ascher, Rupert Holmes, Leon Russell, Kenny Loggins, Alan Bergman, Marilyn Bergman e Donna Weiss1979 Star Wars John Williams |- |Close Encounters of the Third Kind || John Williams |- |Julia || Georges Delerue |- |Saturday Night Fever || Barry Gibb, Maurice Gibb e Robin Gibb |- | rowspan="4" style="text-align:center" |1980| style="background:#ccc;"| Days of Heaven || style="background:#ccc;"| Ennio MorriconeAlien Jerry GoldsmithApocalypse Now Carmine Coppola e Francis Ford CoppolaYanks Richard Rodney Bennett
Década de 1980 Best Original Film Music Ano Filme Vencedor(es)1981 The Empire Strikes Back John Williams |- |Breaking Glass || Hazel O'Connor |- |Fame || Michael Gore |- |Flash Gordon || John Deacon, Brian May, Freddie Mercury, Roger Meddows Taylor e Howard Blake |- | rowspan="4" style="text-align:center" |1982| style="background:#ccc;"| The French Lieutenant's Woman || style="background:#ccc;"| Carl DavisChariots of Fire VangelisRaiders of the Lost Ark John WilliamsArthur Burt Bacharach
Best Score for a Film Ano Filme Vencedor(es)1983 E.T. the Extra-Terrestrial John Williams |- |Gandhi || George Fenton e Ravi Shankar |- |Blade Runner || rowspan="2"|Vangelis |- |Missing |- | rowspan="4" style="text-align:center" |1984| style="background:#ccc;"| Merry Christmas, Mr. Lawrence || style="background:#ccc;"| Ryuichi SakamotoFlashdance Giorgio MoroderLocal Hero Mark KnopflerAn Officer and a Gentleman Jack Nitzsche1985 Once Upon a Time in America Ennio Morricone |- |Carmen || Paco de Lucía |- |The Killing Fields || Mike Oldfield |- |Paris, Texas || Ry Cooder |- | rowspan="4" style="text-align:center" |1986| style="background:#ccc;"| Witness || style="background:#ccc;"| Maurice JarreBeverly Hills Cop Harold FaltermeyerThe Emerald Forest Brian Gascoigne e Junior HomrichA Passage to India Maurice Jarre1987 The Mission Ennio Morricone |- |Out of Africa || John Barry |- |A Room with a View || Richard Robbins |- |Round Midnight || Herbie Hancock |- | rowspan="4" style="text-align:center" |1988| style="background:#ccc;"| The Untouchables || style="background:#ccc;"| Ennio MorriconeCry Freedom George Fenton e Jonas GwangwaHope and Glory Peter MartinWish You Were Here Stanley Myers1989 Empire of the Sun 'John Williams |- |Bird || Lennie Niehaus |- |The Last Emperor || Ryuichi Sakamoto, David Byrne e Cong Su |- |Moonstruck'' Dick Hyman
Best Original Film Score Ano Filme Vencedor(es)1990 Dead Poets Society 'Maurice Jarre |- |Dangerous Liaisons || George Fenton |- |Mississippi Burning || Trevor Jones |- |Working Girl'' Carly Simon
Década de 1990 Ano Filme Vencedor(es)1991 Nuovo Cinema Paradiso Andrea Morricone e Ennio MorriconeThe Fabulous Baker Boys Dave GrusinMemphis Belle George FentonPostcards from the Edge Carly Simon1992 Cyrano de Bergerac Jean-Claude PetitDances with Wolves John BarryThe Silence of the Lambs Howard ShoreThelma & Louise Hans Zimmer1993 Strictly Ballroom David HirschfelderBeauty and the Beast Howard Ashman e Alan MenkenHear My Song John AltmanThe Last of the Mohicans Randy Edelman e Trevor Jones1994 Schindler's List John WilliamsAladdin Alan MenkenThe Piano Michael NymanSleepless in Seattle Marc Shaiman
Anthony Asquith Award for Film Music Ano Filme Vencedor(es)1995 Backbeat Don WasThe Adventures of Priscilla, Queen of the Desert Guy GrossFour Weddings and a Funeral Richard Rodney BennettThe Lion King Hans Zimmer1996 Il postino Luis BacalovBraveheart James HornerThe Madness of King George George FentonSense and Sensibility Patrick Doyle1997 The English Patient Gabriel YaredBrassed Off Trevor JonesEvita Tim Rice e Andrew Lloyd WebberShine David Hirschfelder1998 Romeo + Juliet Nellee Hooper, Craig Armstrong e Marius de VriesThe Full Monty Anne DudleyL.A. Confidential Jerry GoldsmithTitanic James Horner1999 Elizabeth David HirschfelderHilary and Jackie Barrington PheloungSaving Private Ryan John WilliamsShakespeare in Love Stephen Warbeck2000 American Beauty Thomas NewmanBuena Vista Social Club Ry Cooder e Nick GoldThe End of the Affair Michael NymanThe Talented Mr. Ripley Gabriel Yared
Década de 2000 Ano Filme Vencedor(es)2001 Wo hu cang long Tan Dun |- |Almost Famous || Nancy Wilson |- |Billy Elliot || Stephen Warbeck |- |Gladiator || Lisa Gerrard e Hans Zimmer |- |O Brother, Where Art Thou? || T Bone Burnett e Carter Burwell |- | rowspan="5" style="text-align:center" |2002| style="background:#ccc;"| Moulin Rouge! || style="background:#ccc;"| Craig Armstrong e Marius de VriesLe fabuleux destin d'Amélie Poulain Yann TiersenThe Lord of the Rings: The Fellowship of the Ring Howard ShoreMulholland Drive Angelo BadalamentiShrek Harry Gregson-Williams e John Powell2003 The Hours Philip Glass |- |Catch Me If You Can || John Williams |- |Chicago || Danny Elfman, John Kander e Fred Ebb |- |Gangs of New York || Howard Shore, Robbie Robertson e The Edge |- |The Pianist || Wojciech Kilar |- | rowspan="5" style="text-align:center" |2004| style="background:#ccc;"| Cold Mountain || style="background:#ccc;"| T-Bone Burnett e Gabriel YaredGirl with a Pearl Earring Alexandre DesplatKill Bill RZAThe Lord of the Rings: The Return of the King Howard ShoreLost in Translation Brian Reitzell e Kevin Shields2005 Diários de Motocicleta Gustavo Santaolalla |- |The Aviator || Howard Shore |- |Les choristes || Bruno Coulais |- |Finding Neverland || Jan A. P. Kaczmarek |- |Ray || Craig Armstrong |- | rowspan="5" style="text-align:center" |2006| style="background:#ccc;"| Memoirs of a Geisha || style="background:#ccc;"| John WilliamsBrokeback Mountain Gustavo SantaolallaThe Constant Gardener Alberto IglesiasMrs. Henderson Presents George FentonWalk the Line T-Bone Burnett2007 Babel 'Gustavo Santaolalla |- |Casino Royale || David Arnold |- |Dreamgirls || Henry Krieger |- |Happy Feet || John Powell |- |The Queen'' Alexandre Desplat
Best Music Ano Filme Vencedor(es)2008 La môme Christopher Gunning |- |American Gangster || Marc Streitenfeld |- |Atonement || Dario Marianelli |- |The Kite Runner || Alberto Iglesias |- |There Will Be Blood || Jonny Greenwood |- | rowspan="5" style="text-align:center" |2009| style="background:#ccc;"| Slumdog Millionaire || style="background:#ccc;"| A. R. Rahman|- |The Curious Case of Benjamin Button || Alexandre Desplat |- |The Dark Knight || James Newton Howard e Hans Zimmer |- |Mamma Mia! || Benny Andersson e Björn Ulvaeus |- |WALL-E || Thomas Newman |- | rowspan="5" style="text-align:center" |2010| style="background:#ccc;"| Up || style="background:#ccc;"| Michael GiacchinoAvatar James HornerCrazy Heart T-Bone Burnett e Stephen BrutonFantastic Mr. Fox Alexandre DesplatSex & Drugs & Rock & Roll Chaz Jankel
Década de 2010 Best Original Music Ano Filme Vencedor(es)2011 The King's Speech Alexandre Desplat |- |Inception || Hans Zimmer |- |127 Hours || A. R. Rahman |- |Alice in Wonderland || Danny Elfman |- |How to Train Your Dragon || John Powell |- | rowspan="5" style="text-align:center" |2012| style="background:#ccc;"| The Artist || style="background:#ccc;"| Ludovic BourceThe Girl with the Dragon Tattoo Trent Reznor e Atticus RossTinker Tailor Soldier Spy Alberto IglesiasWar Horse John WilliamsHugo Howard Shore2013 Skyfall Thomas Newman |- |Anna Karerina || Dario Marianelli |- |Argo || Alexandre Desplat |- |Life of Pi || Mychael Danna |- |Lincoln || John Williams |- | rowspan="5" style="text-align:center" |2014| style="background:#ccc;"| Gravity || style="background:#ccc;"| Steven Price12 Years a Slave Hans ZimmerThe Book Thief John WilliamsCaptain Phillips Henry JackmanSaving Mr. Banks Thomas Newman2015 The Grand Budapest Hotel Alexandre Desplat |- |Birdman or (The Unexpected Virtue of Ignorance) || Antonio Sánchez |- |Interstellar || Hans Zimmer |- |The Theory of Everything || Jóhann Jóhannsson |- |Under the Skin || Mica Levi |- | rowspan="5" style="text-align:center" |2016| style="background:#ccc;"| The Hateful Eight || style="background:#ccc;"| Ennio MorriconeBridge of Spies Thomas NewmanThe Revenant Ryuichi Sakamoto e Alva NotoSicario Jóhann JóhannssonStar Wars: Episode VII — The Force Awakens John Williams2017 La La Land Justin Hurwitz |- |Arrival || Jóhann Jóhannsson |- |Jackie || Mica Levi |- |Lion || Hauschka e Dustin O'Halloran |- |Nocturnal Animals || Abel Korzeniowski |- | rowspan="5" style="text-align:center" |2018| style="background:#ccc;"| The Shape of Water || style="background:#ccc;"| Alexandre DesplatBlade Runner 2049 Benjamin Wallfisch e Hans ZimmerDarkest Hour Dario MarianelliDunkirk Hans ZimmerPhantom Thread Jonny Greenwood2019 A Star Is Born Bradley Cooper, Lady Gaga e Lukas Nelson |- |BlacKkKlansman || Terence Blanchard |- |If Beale Street Could Talk || Nicholas Britell |- |Isle of Dogs || Alexandre Desplat |- |Mary Poppins Returns || Marc Shaiman |-