Types of Tumbled Tile. Any type of stone tile can be turned into a tumbled stone tile. This includes marble, granite, travertine, onyx, limestone, quartzite and slate.The most common stone to find tumbled is marble, and many different types of stone may be labeled as tumbled marble when in fact they are onyx, limestone, quartzite or travertine.This is because all of these stones are made of calcium.ypes of Tumbled Tile. Any type of stone tile can be turned into a tumbled stone tile. This includes marble, granite, travertine, onyx, limestone, quartzite and slate.