Today I learned of the existence of "organic, wheat-based cat litter"
They have the disadvantage that they don't control odor well, and when composted smell even worse. So don't try to compost them at home.
Only problem I've had with it was when my dog decided that it smelled good enough to eat. Of course, it pulled all the moisture out of the dog's mouth and left it with a stuck-on clump that it couldn't get rid of.
When combined with a good tasting milk, I like them quite alot