Their compositions for BBC children's television include Jimbo and the Jet-Set, The Family Ness and Penny Crayon, as well as Channel 4's 1996 drama The Fragile Heart.

Greenaway also conducted the scores for the films The Thin Red Line, Gladiator and Pearl Harbor, all of which were composed by Hans Zimmer.

He also conducted many scores for DreamWorks Animation such as Shrek, Chicken Run, Antz, Wallace & Gromit: The Curse of the Were-Rabbit, The Prince of Egypt, Bee Movie, and The Road to El Dorado.

In addition, he was commissioned by Disney to compose the score for their fireworks show IllumiNations: Reflections of Earth and a parade called Tapestry of Nations at Epcot.

He also conducted in Paul McCartney's oratorio Ecce Cor Meum, and has provided music-only soundtracks to accompany VHS-releases such as The Everton Football Club Season Review 1988/89.