When Peter is improvising in the bank, the bag of money disappears in one shot.
When the man loses his eye in bingo, he hits his left eye on the corner of the table, but he is shown screaming and holding his right eye.
In the scene when Peter meets Joe, Joe asks for a screw driver. Peter is so fed up that he walks back to his house, but if you pay close enough attention, you will notice that he walks right past his driveway.
When Joe arrives at the orphanage when he's telling his story, the sign changes position and the writing changes on it.
When the policeman asks Lois to describe Peter, it shows a view through a scope of a rifle. However, when the shot changes and the cop says "I've got him", there is no scope on the rifle.
Peter is watching Wheel of Fortune and the puzzle is "GO _UCK YOURSELF", with Peter thinking the blank letter is probably F. However, there is already an F that has been revealed in the puzzle, so this is impossible (though Peter might be too stupid to realize this.)