Verb To produce a hybrid animal or plant by breeding two animals or two plants of different species or varieties. For example, crossbreeding a male donkey with a female horse will produce a mule.
Noun An animal or a plant produced by breeding two animals or plants of different species or varieties; a hybrid.
Source: crossbreed - Definitions from Dictionary.com
Here's a humorous picture of a bird dog (1st photo on your left) - a cross between a bird and a dog. Such an animal doesn't exist by the way.