I don't claim to be familiar with the work of the Art Ensemble of Chicago. But the track The Meeting, on an album of the same name, strikes a nice balance between being tuneful and being raucous. lastm.fm has the clip (and full MP3s for 4 of the album tracks):
The album received mixed critical response although it happens to be my favorite of theirs so far.
jack lefton: art ensemble of chicago discography