Continuity: When Alec Baldwin writes the check, the date is different when he hands it to Jim Carrey.
Visible crew/equipment: At the end of the film when Jack walks out of his house while putting his sunglasses on you can very briefly see the crew and equipment reflected in them.
Continuity: While Dick is in the Champion's Club, he is up on the table, acting like a puppet. He knocks the pepper shaker off the table with his foot. After the camera switches shots, it returns to Dick, who knocks the shaker off the table again.
Continuity: After the swelling on Dick's Jaw is nearly gone, it reappears quite markedly in several scenes.