In Gochuumon wa Usagi Desuka?, Tippy, the creature on top of Chino's head, is introduced to be a rabbit.
Is it in any possible way a rabbit in real life, or is it just another RidiculouslyCuteCritter?
Tippy is an Angora rabbit. A popular pet amongst French royalty in the mid-18th century and in Europe in the later part of the century.
A picture of a White English Angora rabbit from Wikipedia:
It was also officially confirmed from this magazine illustration (Japanese) in the Q&A in the lower left corner.
Is rabbit actually an item on the shop's menu?
Although Tippy, an Angora rabbit, is kept as a pet at Rabbit House, and in episode 1, Cocoa ordered for a rabbit out of ignorance, there is no such thing on the menu, since Tippy is obviously not for sale (lol). [...]