Happy Mid-Autumn Festival! I am eating savory Shanghai-style mooncakes right now. While I eat let me tell you all about the rabbit in the moon and why the rabbit is a god for queer folks. Follow this thread for my quick on-the-fly summary/translation of the original folktale
The most famous tale about the Mid-Autumn Festival features the woman Chang'e and different versions of that story generally say that the rabbit in the moon is her pet or her transformed animal form.
BUT, there are also much less well-known about a Rabbit God called 兔儿神