Continuity mistake: The babysitter answers one of the early calls saying "Robert, I don't think this is very funny." The pencil and papers have completely changed position on the table. (00:07:30)
Continuity mistake: When Bugs Bunny is reading from the Christmas stories book to Clyde, you can see Clyde is sitting by the fireplace and there is a long red stocking on the right hand side of it. After a quick cut to Bugs reading, we return to Clyde and the long red stocking has disappeared.