This is a list of winners and nominees for the BAFTA Award for Best Original Music, formerly known as the Anthony Asquith Award for Film Music, which is presented to film composers, given out by the British Academy of Film and Television Arts since 1968.

The Mission is a 1986 British period drama film about the experiences of a Jesuit missionary in 18th-century South America. Directed by Roland Joffé and written by Robert Bolt, the film stars Robert De Niro, Jeremy Irons, Ray McAnally, Aidan Quinn, Cherie Lunghi, and Liam Neeson.