Harpie- Head and torso of a woman, body of vulture or eagle. Greek
Centaur- Head and torso of man, horse body. Greek
Satyr- Head and body of man. Horns, legs and tail of a goat. Greek
Mintotaur- Head and tail of bull, body of a man. Greek
Sphinx- Head of a woman, body of lion, eagle wings. Greek, Egyptian
Lamia- Beautiful Queen of Libya turned monstrous serpent and child eater. Greek
(Lamiae- Vampire succubi)
Scylla- Water nymph turned "horrible sea monster with six long necks equipped with grisly heads, each of which contained three rows of sharp teeth.Her body consisted of twelve tentacle-like legs and a cat's tail and with four to six dog-heads ringing her waist" Greek
*EDIT* Thought of another!
Silenus- Drunk friend of Dionysus, man with ears, legs and tail of a horse. - http://en.wikipedia.org/wiki/Silenus