I just played Isabelle, Poppy, and Bling, a flash game by Andy Master of Fish on Albinoblacksheep.com.
At the end of the game, a thing that looks like a gorilla crossed with a lion and a toucan shows up on screen. It gave me an idea for a chimera.
It has the hind legs and body of a lion, the arms and chest of a gorilla (it walks on all fours but the ape's long arms gives it a centaur-like chest). From there, you can add different heads and wings. The eagoragion has the head of an eagle and the wings of a dragon but the opposite is also quite possible. And the thought of a rhino- or boar-headed variety without wings also just sprang to mind.