Carlisle- a real Lion because Carlisle is what Edward strives to be and his "mountain" lion is looking up to the real thing.
Esme- a Deer because I picture Emse a very nice prancer.
Jasper- a Jaguar becuase they are pig and muscular like him.
Alice- a Cheetah they have a thin frame but very powerful.
Rosalie- something dainty, a squirrel? lol