The Calzone - S7-E20
Factual error: When Jerry gets a speeding ticket, he asks Nicki to give the officer the registration. She gets a large piece of white paper from the glove compartment. That's what car registrations look like in California, where the show was produced. In New York, where it's supposed to take place, car registrations are the size of a driver's license, and are usually kept in the driver's wallet.
The Calzone - S7-E20
Other mistake: When Kramer is at the restaurant, as a favor for George, he tells the employee that he wants "three calzones." Then the employee just starts cooking the calzones. He never asks what ingredients/filling Kramer wants in those, and Kramer never says.
The Bottle Deposit (1) - S7-E21
Character mistake: When Jerry tells Kramer and Newman that they left their groceries under the hood of his car, he comments, "The AAA guy said I was this close to sucking a muffin down the carburetor." Jerry's car is a Saab 9000, which are fuel injected.
Continuity mistake: The scene which George arrives at Beth's apartment in a messy condition to admit his remark was in jest, his shirt's hem and collar change between shots. During this scene, especially when he talks to Jerry on the phone, his collar is up and down; his hem is in and out of his trousers.
Chosen answer: George does mention his brother in the episode "The Parking Space". They actually really never mention anything that contradicts the fact he had a brother though, it just isn't mentioned.