10 most common Rabbit breeds in America 1. American Fuzzy Lop – small, fluffy, playful. 2. Holland Lop – compact with cute floppy ears. 3. Mini Rex – velvety soft fur, easy to care for. 4. Netherland Dwarf – tiny, energetic, super adorable. 5. Lionhead – mane-like fur around the head, unique look. 6. Flemish Giant – very large, gentle “giant” rabbit. 7. English Angora – long wool coat, prized for fiber. 8. French Lop – big, floppy ears, calm and cuddly. 9. Californian – white body with dark poin