Transporters can:

Combine two distinct entities into one. (Tuvix)

Split a single entity into two copies, neither and both of which are the original. (Riker)

Split a single entity into an "evil" and "good" version of the original. (Kirk)

Transform you into a child version of yourself (complete with miniaturized clothing!) (Guinan, Ro, Picard and others)

Send you into another universe where everyone is the same except evil and bearded. (Mirror universe)

Turn you into some kind of quantum particle ghost. (The son of the guy who invented it, Enterprise)

I think I'll take the shuttle.

(these are just what I can think of off the top of my head, I'm sure there's more.)