Manticore- head of a human, body of a lion, tail of poisonous spines
Chimera- head of a lion and goat, snake/dragon as a tail, breaths fire
Yet, when images are drawn of these creatures, they have wings about half the time. They are usually described as bat wings.
The Chimera is also not depicted by Greeks with wings. I would suggest back up or editing a little bit the question.
If not by Greeks, then by who? How, or when, were they first described with wings?