Well, I can name a few sub-Genus from the Leporidae family: there's Pentalagus, Nesolagus, most notably the widely-spread Sylvilagus, as well as Oryctolagus and Poelagus. I believe there are more - like the Bushman rabbit, but I don't know the Genus for that.
There are more than 40 kinds of rabbits. Some more popular breeds are American, Flemish Giant, Holland Lop, Netherland Dwarf, Enderby Island Rabbit, Rex, Himalayan, Silver rabbit, and Jersey Wooly