The Robbery - S1-E2
Continuity mistake: George sits down at the diners' table with Jerry after his bathroom (and mirror) break. When Jerry asks him "So what are you getting?" he is holding the menu in a different way between front view and reverse. (00:18:40)
The Stakeout - S1-E1
Continuity mistake: Jerry is playing with his mom; she handles him a note with Elaine's message. He says "I am such a jackass." His mom asks "She knows... what?" In that shot, Liz Sheridan 's hand is nowhere near her face, where it should be to match the shots before and after. (00:16:55)
The Stakeout - S1-E1
Continuity mistake: Throughout the video store scene, a golden sticker keeps switching position on the adult tape Elaine is holding; The Switch can be noticed particularly easily when they talk about the wedding; Elaine repeats "A wedding?" and the box has no sticker, but few seconds later she laughs about the combover and the sticker is showing. (00:02:50)
The Robbery - S1-E2
Continuity mistake: Jerry has just won the contested deed for The Apartment beating George. Look at The Jacket on the counter. When Kramer makes his trademark entrance, The Jacket is placed differently. (00:16:40)
The Robbery - S1-E2
Continuity mistake: When Jerry tells Elaine to "Do it in the shower", he gestures with his fancy retractable umbrella. But he is holding it by opposite ends in the two consecutive shots. (00:02:30)
Continuity mistake: In Jerry's apartment at the beginning, Kramer hands Jerry the telephone. Jerry takes it with his right hand, but in the wide angle he is holding it in the left hand. (00:03:40)
Continuity mistake: When Elaine joins Jerry and George at The Cafe and tells them she spent ten minutes looking for a grape, keep an eye on the straw in George's drink. From shot to shot, the straw in George's drink keeps changing position, from tilted to upright, then tilted at The Opposite end of the glass, then upright again, then back to tilted.
Continuity mistake: In the pilot episode "Good News, Bad News", look out when the waitress discusses the two coffee pots. She says "Trusts me George, nobody wants to see you on caffeine", and the unbuttoned top of Jerry's jumper is noticeably folded - but straightens instantly in his reaction shot. Also it should be noted that she walks away without actually pouring coffee to George - you have to assume a little amount of time elapsed between that reaction shot with Jerry and the following on George. (00:01:45)
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.