Corrected entry: When Homer says that he is going to get Bart a birthday present, he runs to the car and drives away. Not only is it impossible for him to run out to the car, get inside, start the engine and drive away in the time he did, but he presumably used the back door (as we did not see him use the front door). Why didn't he use the front door? It would have been much quicker.
Corrected entry: In "Clown Without Pity", where the Krusty doll acts as Homer's servant, Homer says at one point "Yeah, dogs like to bury old junk", in which the Krusty doll says "Yeah, you stupid idiot.." The 'you stupid idiot' part is said with his mouth closed.