A house for rabbits is sometimes called a hutch.
The shelter for rabbits is called a "Hutch" The place wild rabbits live is called a warren.
Its burrow
It really all depends on what shelter and what rabbit!
A rabbit wants food, shelter and owners that will take care of them.
Wild:Nest Captivity:Hutch
anywhere
Food, shelter, and water.
a burrow
Angora rabbits need the exact same care as all pet rabbits, except they need more regular grooming. An angora rabbit's shelter should be just like any other pet rabbit's shelter. See the related questions below for info and links.
Give it to your animal shelter
The shelter of a donkey is usually called a pen or a donkey pen. It can also be called a shelter or donkey shelter.