At home in both the modern jazz and contemporary classical worlds, Eddie has also contributed significantly to the repertoire of the classical saxophone: his piece for large sax choir "The Status Quo", composed in 1987, is a classic. He has written for sax quartet ("Cartoons", commissioned by Apollo Saxophone Quartet) and quintet ("Autogeddon", commissioned by Saxtet) as well as, recently, a piece for solo alto saxophone ("Shhh!" for Simon Haram). 

He has composed works for percussion ensemble ("Three Anagrams for Kurt Schwitters", commissioned by Ensemble Bash), for solo harp ("Hexknots", for Imogen Ridge), solo vibraphone (for Simon Limbrick), and a cycle of song settings for lyric tenor and piano (for James Gilchrist).