The following are some nice nicknames for rabbits for reference:
1. Rabbit ears
2. Cute rabbit
3. Rabbit Gollum
4. Little Rabbit
5. Rabbit Candy
6. Rabbit Barbie
7. Rabbit Princess
8. Miss Rabbit
9. Rabbit Prince
10. Bunny Sauce
11. Baby Rabbit
12. Rabbit Cute
13. Rabbit Sweetheart
14. Rabbit Orange
15. Rabbit Candy
16. Rabbit Sweetie
17. Miss Rabbit Ears
18. Rabbit Fairy
19. Rabbit Sister
20. Cute Rabbit
p>I hope these nicknames can bring you some inspiration and help.