• Yes, there are different types of Frisbees. There is a freestyle Frisbee. There is also a Frisbee used to play Ultimate Frisbee. Frisbees come in different sizes too. They all work the same way, though based on the material/size a Frisbee will fly differently.
Wham-O has produced different types. -> http://www.wham-o.com/default.cfm?page=Search&SearchFlag=true&SearchString=Frisbee