There are over a 100 different breeds of rabbits.
Common domestic rabbit breeds (No specific order):
Small sizes:
1. Lionhead
2. Holland Lop
3. Netherland Dwarf
4. Mini Rex
5. American fuzzy lop
Medium sizes:
1. English Angora
2. French Angora
3. Belgian Hare
4. Rex
5. Chinchilla
Large sizes:
1. New Zealand white
2. Satin
3. English Lop
Huge rabbits:
1. Flemish giant
2. British giant
3. French Lop
Keep in mind there are many, many more breeds. They go by different sizes, colors and even hair texture.