The Easter Bunny (actually a hare in Sweden, Germany, Austria and Switzerland as opposed to a rabbit in Canada, the United Kingdom, the United States, and Australia) is known for delivering sweets to young children, so it's no surprise that Easter baskets often feature a chocolate bunny. In France, however, it's not the Easter bunny that children have to thank. It's the Easter bells, back from Rome, that are responsible for sending the chocolates everywhere.
Rabbits are actually considered a pest in Australia for causing damage to the environment so there is a strong campaign to give Easter Bilbies instead. The bilby is an Australian animal that's endangered. It looks like a large mouse with long soft ears like a rabbit. People still give bunnies, but you see a lott of bilbies as well.