When the three bears come in the back door to hide under the stairs, the shelf by the door is empty. But, when Bugs asks for the ketchup, it has magically appeared on the shelf.
When Bugs is lured out of his den by the odor of the carrot soup, his hole is to the right of the Bears' house. At the end, when he runs away from the house to go back to his den, his den is now to the left of the Bears' house.
When Mama Bear stands up to suggest going for a walk, she places her hand in front of her steaming porridge. At that point, the steam incorrectly appears in front of her hand.
The syncing of the dialogue and visuals is clearly off at the beginning of the cartoon.