
What's sex got to do with it? - S4-E4
Continuity mistake: After Carrie asks Ray if he wants to 'play her', she pulls down the neckline of her top to reveal a strap on her left shoulder. But in the next shot when Ray moves behind Carrie and we are facing them, suddenly her top is pulled back up, and there is no strap showing. This was a seamless transition, and there was no time for anyone to have pulled her top back up. (00:19:05)

Revealing mistake: During this scene, Samantha throws a cantaloupe through the window. As Sarah Jessica Parker reacts to the incident, you can see her very pregnant belly from the side, especially as she bends over. According to the commentary, she was about 7 months pregnant at the time. (00:20:15)

Continuity mistake: When Charlotte is crying into the pillow, we can see that she's gotten black eye make-up on it. The splodges of make-up disappear twice during the scene, most noticeable just when Carrie walks in holding the baby.

Continuity mistake: Samantha is wearing black pantyhose when she pulls Carrie into the bathroom to tell her about her bad dye job on her crotch. Then she pulls up her skirt to show Carrie, and her legs are bare.

Valley of the twenty-something guys - S1-E4
Continuity mistake: During the scene when Carrie and Sam are in the changing booth at the clothing store, Carrie starts helping Sam take his shirt off. She pulls the outer plaid shirt down quite a bit, revealing his white undershirt. But in the next shot of him, Sam suddenly has the plaid shirt back up around his neck. Then in his next shot, it's back down and the white undershirt is showing again.

Oh come, all ye faithful - S1-E12
Continuity mistake: When the psychic is about to crack an egg, the cigar changes positions between shots. The ash also changes colour.

Visible crew/equipment: When Sam is with the realtor woman, the boom mic is reflected on her sunglasses.

Revealing mistake: When Tray and Charlotte stand by Tyffany's door, bystanders on the right and on the left sneak-in to see the filming.

Oh come, all ye faithful - S1-E12
Continuity mistake: In S1E11 "The drought", right next to Carrie's window there's a building very few meters away, with some neighbours having sex. When this episode ends there's now a tree in front of the window and a wide street between the building in front.

Continuity mistake: The splattered burger on the painting changes positions between shots.

Visible crew/equipment: Lighting screens are reflected on Sam's glasses during the picnic.

Continuity mistake: Carrie's mug magically swaps to a cookie in a mere second. (00:04:46)

An american girl in paris (part deux) - S6-E20
Continuity mistake: When Carrie is smoking during lunch, the arm holding the cigarrette disappears between shots. (00:06:10)

An american girl in paris (part une) - S6-E19
Continuity mistake: While Carrie packs and listens to Miranda's voice message, Carrie's grip on the box and the way it rests on her belly changes 3 times between shots in a matter frames. (00:01:07)

An american girl in paris (part deux) - S6-E20
Continuity mistake: At the pastry shop, Carrie asks about Alek's exhibit reviews and grabs her cigarrette. A shot later it reappears in her mouth.

An american girl in paris (part une) - S6-E19
Visible crew/equipment: Crew member in jeans with filming camera reflected on the Parisian hotel entrance.

An american girl in paris (part deux) - S6-E20
Visible crew/equipment: When the pastry shop scene starts, there's a wide angle of the store and a big glass door opening wide. The whole filiming crew and equipment are perfectly visible.

An american girl in paris (part une) - S6-E19
Continuity mistake: When Charlotte sees Carrie's latop, note the Apple logo and you'll notice that it turns 180ยบ between shots.

An american girl in paris (part deux) - S6-E20
Continuity mistake: When Juliette introduces herself, her left hand is empty. A shot later a pen magically appears.
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