The Library - S3-E5
Continuity mistake: When Bookman is lecturing Jerry in his apartment, he picks up a navy book with gold lettering and places it on the bookshelf in front of a pink book. For the rest of the shots, the navy book disappears and the pink book is back in front.
Continuity mistake: At the beginning of the show, when Jerry is having a massage, his hands are in front of him, under his chin. The position of his fingers change considerably after The Masseuse says, "I don't know" but then return to the original position in the next shot.
Continuity mistake: When George is lying on the floor in his underwear, a newspaper is on his right side. When they take the reverse shot (Jerry's view of him lying there), the newspaper is on George's left side.
Continuity mistake: When Morty is giving Jerry directions to the scuba diving site, The Pen alternates between being in Morty's hand and on the table between shots.
Continuity mistake: In the opening scene in the locker room, George's shoe goes from off his foot to on to off to on.
The Red Dot - S3-E12
Continuity mistake: After Elaine unwraps her cashmere sweater, Kramer wraps the ribbon around his neck in a scarf-like way and then lies back on The Couch. In a long shot of The Apartment (as Elaine exits the bathroom), the ribbon is gone, but when it cuts to Kramer and he asks about The Red Dot (and for the rest of the scene), the ribbon is back.
Continuity mistake: Shot shows a DC-10. Next shot is the inside of a plane that is not a DC-10. Only one aisle. DC-10s have two aisles. (00:00:35)
Continuity mistake: Jerry is waiting for George to come into his apartment and he says to Elaine and Kramer, "my oldest friend is dating the governor", and then folds his arms. In the next shot, as George comes in, Jerry is suddenly holding a glass of juice - there was no time for this change to happen naturally.
Continuity mistake: While Jerry is having his massage, The Masseuse walks around the table to reach his right side and we can then see two items of clothing, one blue and one grey, hanging on the clothes stand behind them. During the rest of the scene, we only ever see the grey item hanging there.
Continuity mistake: At The Airport, while deciding to take The Limo, Jerry's scarf moves on and off his shoulder between shots.
Continuity mistake: While Kramer is explaining about being in the Woody Allen movie, George is in the background looking out the window trying to stop car alarms with his keys. Less then five seconds later, George ends up by Jerry's counter (without being seen) and has a can of Shasta in his hand. (00:08:40)
Continuity mistake: Jerry and George are at the pharmacy. As George pays the bill and is heading out, behind Jerry there's an old lady at the counter. The camera changes and the same lady disappears and you can see her in other side of the store heading again to the counter. (00:02:25)
Continuity mistake: In the first scene (approximately 3 minutes in) where Jerry points out the red-headed woman in The Parking Garage to George, she is leaving her vehicle in a section of the garage that is labeled 14 with a green background. However, later (approximately 23 minutes in) she is shown returning to her car in section 14, but the color is now yellow.
The Suicide - S3-E15
Continuity mistake: When George and Elaine are at the psychic, Elaine is saying she doesn't know how the psychic can put a cigarette in her mouth. At this point the psychic has the cigarette in her mouth and her hands are clasped. In the next shot, the cigarette is now in her hand.
The Letter - S3-E21
Continuity mistake: While George is talking to Nina about the painting, Jerry can be seen taking a bottle of water from the refrigerator. He's then seen holding the bottle when buzzing up Elaine, but then when talking to Nina about the "pop-in", the bottle's gone. It's then back in the next shot when Nina says she's leaving. (00:15:13 - 00:16:00)
Continuity mistake: One shot shows George beginning to step out of the car, with his leg out of the vehicle, but in the next shot, he appears to be fully inside the car. (00:06:30)
Continuity mistake: While Kramer is on the phone with the guy who stole Jerry's car, a NY Mets hat is seen upside down on the behind George. When Kramer hands the phone back the hat is now right-side up and facing the camera.
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.