Usually the thickness varies from 1/16" (pretty thin) to 1/4". I would say 1/8" is fairly common. You can buy whatever thickness you want though, if your making your own panels.
You also want high rpm's, much cleaner cutting. You can use a router w/ a carbide bit, or a Dremel, which has pretty high rpm's (close to a router which is ~ 20,000).
Hope that helps.