Continuity mistake: Puppy Paws gets on the roof of the house where Budderball lives. He stretches up so he can look down the chimney. Each of his front paws is on a different side of the chimney top. In the next shot, from inside the chimney looking up, both paws are resting on the same side of the chimney top. In addition, the inside of the chimney is spotlessly clean.
Other mistake: After the Santa Buddies arrive and sing at Santa's workshop, it shows the town's Christmas tree magically light up and the sheriff runs out of and around the building to see it. There is freshly fallen snow, but no foot prints from him, or paw prints from the sheriff dog.