Homer rushes out to his car naked once he gets out of the bathtub. In the scenes of him driving to pick up Bart, he has gained his clothes.
When Marge is leaving through the front door and reminds Homer to pick up Bart, Homer is on the couch in the front sitting room, but when Marge closes the door Homer is suddenly sitting on the couch in the back living room.
When Milhouse is on the back of the truck the long shot shows his hair being completely different to his usual style.
When Homer first gets out of the car in the dream sequence, only his top half is visible, with his legs not being seen below the car.
When Homer runs down the stairs naked, the number of footstep sounds is more than the number of steps he actually takes.