Olives are safe for domestic rabbits to eat, and some varieties are nontoxic. Both green and black varieties are fine, as long as you are careful to keep your pet away from any pits. However, you should not give your pet olives with garlic on them. Also, don’t let your rabbit eat any type of corn, including popcorn. Popcorn is highly toxic to rabbits and poses a choking hazard to small rabbits. It can also cause other health problems, and it is indigestible for rabbits of all sizes.