Here's a few pet ideas that I haven't yet tried out. I'm curious if anyone else has tried any of these as well.

Tawny Sky Turtle + Inky Octopus = an ammonite or nautilus.
Tawny Sky Turtle + Shellfish Crawly = a flying hermit crab.

Hawk + Fire Toad = Phoenix.
Hawk + Ebon Spectre = vulture.

Mutt Squawker + Heck Kitty = Heckle (a crow, as in from the cartoon Heckle and Jeckle).

The bird mixes seem more likely, only because phoenix, crow, and vulture models are already in the game.

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Able Caleb Tolliver
Dark Dante Tolliver