The Angora is a variety, not a breed and was primarily bred for it's long and soft wool. Angora rabbit was very admired as pets with French royalty. There are four special breeds of Angora rabbit (English, French, Satin & Giant) that are recognized by the American Rabbit Breeder's Association (ARBA). Each Angora breed is a little different, which breed of Angora rabbit is right for you? The French Angora Rabbit is a docile, sweet rabbit who love to hop around liberally.