In the 1980s, Worby received awards from the Arts Council of Great Britain to work as a composer and undertake a number of residencies.
In 1994, he began assisting the composer Michael Nyman working on several films, concert music and the opera Facing Goya.
In the mid 1990s, Worby began broadcasting on Radio 3 presenting a five-part series entitled Cacophony Now!
Most recently, he has been a regular presenter of Hear and Now, the BBC's main contemporary music programme.
In addition, Worby has made several features on subjects including the work of Daphne Oram, the founder of the BBC Radiophonic Workshop, and the music of Luigi Russolo.