Rabbits are available in Buya an NPC is selling them on the right side of the Palace.
The NPC is called the Beastmaster:
There are 8 different rabbits you can get. Here they are and what you need to get them:
* Brown rabbit -- 100 Rabbit meat and 1k * Red rabbit -- 100 Rabbit meat and 10k * White rabbit -- 100 Rabbit meat and 100k * Blue rabbit -- 100 Fine rabbit meat and 500k * Golden rabbit -- 100 Fine rabbit meat and 500k * Purple rabbit -- 100 Fine rabbit meat and 500k * Pink rabbit -- 100 Fine rabbit meat and 1m * Black rabbit -- 100 Fine rabbit meat and 1m