Other mistake: At the end of the show when the misfit toys are being delivered, the elf in Santa's sleigh gives an umbrella to each of the misfits so they can glide down with the exception of the bird, who jumps off, apparently forgetting that he is a misfit toy and can't fly; as he stated earlier in the show, he can only swim.
Continuity mistake: When Bugs performs his "Invisible Shield" gag, he puts a bucket in a hole in the frozen lake. The hole was not there when first saw Bugs at the lake.
Continuity mistake: When Pancho Vanilla puts his gun in the hole of the trap he has set for Speedy, the gun is resting on the ground. In the next shot, it is now on the top of the hole.
Continuity mistake: When the Big Bad Wolf has finished hammering in the sign at the beginning of the cartoon, he is holding a hammer in his right hand. When he tells his nephew to put their rabbit outfits on, he holds up his right hand but the hammer he was holding a few seconds ago has disappeared.