Well, lessee, theres yer typical Western Dragon (Wings, teeth, scales, claws)
Eastern Dragon (Snakelike, good luck, hodgepodge of animals)
Drakes (Snake-like, wingless dragons of fire and ice)
Lindwurms (Scandinavian dragons that are aquatic)
Amphisbaena (A dragon with a human face and snake on the end of it's tail)
There are many more.