The Big Bad Fox: The twist is that the Fox does not eat the chicks. Instead, he trains them to be 'foxes,' and they terrorize the other animals. In the climax, the Fox saves the chicks from the Wolf, and the Hen (the biological mother) agrees to a compromise: the Fox can continue to see the chicks and be their 'Mommy,' provided he undergoes 're-education' to be less of a predator. The chicks end up with two mothers.
Saving Christmas: The twist is that Duck and Rabbit didn't kill Santa; they just broke a lawn ornament. However, they do end up helping the real Santa (who is revealed to be small and clinging to the chimney) deliver gifts, proving that their chaotic hearts were in the right place.