Continuity mistake: Right when the episode starts Carrie is grabbing a long piece of melted cheese that stretches out of her burger into her mouth. Half a second later the burger and cheese have vanished. And her arm is lowered.
Continuity mistake: Carrie and Berger wake up and he says "We're the couple you wanna be" and her legs are stretched out. A shot later they're bent under her bum.
Continuity mistake: The amount of feces on Miranda's forehead changes between the first time she smudges it on her forehead and half a second later when Steve warns her. This happens before the listed mistake that takes place when he wipes the poo off.
Continuity mistake: Charlotte tells Harry "you changed your mind with the Jewish thing" while she caresses his chest and his hand is lowered. A shot later his hand is suddenly on his chest and his fingers are entwined with Charlotte's.
Continuity mistake: While having lunch at the Meat Packing District, Sam grabs her lipstick but it disappears a shot later.
Revealing mistake: When Miranda comes home from work and takes off her black jacket, her black dress underneath is tight. You can tell how pregnant Cynthia Nixon is when she lies on the bed with Steve. (00:08:05)
Continuity mistake: Carrie kisses Big and caresses his right cheek. A shot later her hand is nowhere to be seen.
Continuity mistake: Carrie cools Big's swollen nose and he touches it with his right hand. A shot later, his left hand is raised.
Continuity mistake: After Harry grabs the tissue paper, The one sticking out of the box changes shape between shots.
Continuity mistake: Miranda picks food with the chopsticks, then exactly one second later the food is gone and she is talking. Too fast for her to take it to her mouth, chew it and swallow it, for the scene takes place in real time. (00:06:00)
Continuity mistake: Miranda is in the toilet, her purple towel and scarf lying on the sink. When the shot changes the scarf is missing. (00:10:39 - 00:11:00)
Visible crew/equipment: When Big arrives at the cafe a moving boom mic is perfectly visible on the glass behind with an arm and a hand moving it.
Visible crew/equipment: When Stanford and Carrie walk backstage with the models, check the reflection on the glass and you'll see: the boom mic operator, camera and, best of all, a group of technicians crouching on the floor, failing to hide and moving around when Carrie and Stanford walk around.
Visible crew/equipment: After Stanford tells Derek he's going to be a star, the steadicam operator is reflected on the mirror behind.
Continuity mistake: When the jewelry clerk advises Charlotte what to do with her ring she extends two fingers, but a shot later she is extending all five.
Anchors away - S5-E1
Continuity mistake: After Miranda eats a strawberry, another one magically appears on her fork a shot later.
Hot child in the city - S3-E15
Continuity mistake: Charlotte pretends to be reading in bed but has a paper in between the pages. The upper part stands out 5 cm in one angle, and twice as much in another.
Continuity mistake: When Aidan reaches to Carrie to help her get up, her arm is quite clean. Half a second later it's covered in mud.
Continuity mistake: When Carrie is about to carry the log, Aidan's left arm is lowered, but a shot later it rests against the log.
Answer: I'm a long-time fan of the show, having re-watched it many times, and I definitely remember slightly different dialogue at the end of that episode than what's on my DVD. I'm afraid I have no idea why this change might have been made or any other info, but you're not insane.
Purple_Girl