Well, ArtBrooks mentioned Colonel Bogey, so let me offer my favorite kazoo piece, which is The Stars and Stripes Forever. I do this solo every July 4th, usually to overwhelmingly positive response (if you include laughter as positive)!

Naturally, as a soloist, I have to do all the parts. I can easily imagine this piece being done to great effect with at least two parts (one for the piccolo part) and maybe three, four, or a whole band. Try it. I think you'll like it!

Genie