Trevor Jones (b. 1949) provided orchestral score to The Dark Crystal and Labyrinth, and the theme music for Jim Henson Presents the World of Puppetry.
He has also scored several Creature Shop projects, including Gulliver's Travels, Merlin, and Dinotopia. Jones is reportedly in talks to score Power of the Dark Crystal.
His non-Henson credits include Thirteen Days, Dark City and The Last of the Mohicans.