Patch 7.2 is adding some new Hunter pets to tame including a whole new family. Falcosaurs are being added to the Raptor family. Gryphons, hippogryphs, wyvern, owlcats, and wolfhawks are being added to the new Feathermane family.
I know what you’re thinking: How am I supposed to tame new pets when my stable is already full? I’m right there with you. I dislike abandoning pets, especially rare ones, but it might be necessary in this case because having gryphon pets for my dwarf is too good to pass up.
Update June 2017: I have a guide on where to tame all the Feathermanes on Wowhead.