Rabbits can eat bananas! Most rabbits will actually love the taste of bananas and will do anything to get some!
Even though rabbits can enjoy the taste of bananas safely, they are not very healthy. Bananas are very high in things like sugar, making them fattening for rabbits. Feeding your rabbit too much banana, or feeding banana too regularly, can end in your rabbit becoming diabetic.
Rabbits rely on eating a lot of low carb foods. Since bananas are a high carb food, too much of them can make your rabbit sick.