The Tale of the Bunny Picnic (1986)

Bean Bunny is too small to be useful (says his brother) to help prepare for the Bunny Picnic, so he wanders off and sees a legendary persecutor of all rabbits: the farmer's dog. But nobody believes him when he tries to tell them he's seen the dog, until the dog breaks up the picnic. And it's up to Bean to come up with a plan to defeat the farmer's dog and discover the one thing the dog fears.