It's pretty easy for avant garde artists to make music that's too weird for its own good.
Avant Garde music that doesn't suck
However, there are some pretty great avant garde musicians that understand how to break musical conventions while still writing interesting and entertaining music.
Who are some of your favorite avant garde musicians?
My fav right now is Happy Place, specifically the track Rupture / Rapture!
It works really well as a head-clearing song, while still demonstrating a great rising action, climax, and resolution.