Some do. A cactuar with a flower will ask for water. Others will plug you full of needles. A Roborovski Hamster will ask you to pet it, while the ordinary kind will devour you on sight.

[She fishes a large fistful of gil from her pouch, then reaches out to pluck at Sorey's wrist and turn his palm upward. She places the money there and curls his fingers over it with a smile. He did help wear the monster down, after all.]

Mikleo told me you like to read. Perhaps you should check the books in the library and locate a bestiary. I'm certain it would serve you well.