Continuity mistake: Sam says her card was on top of the telly and fiddles with a straw, stretching out her right arm. From the opposite angle it is not stretched.
Continuity mistake: When the waiter says he knows that Anabelle lost her pool card, Miranda leans forward and leaves. From the opposite angle she is resting and repeating her previous movements.
Continuity mistake: When Sam gets caught at the pool, Miranda holds her glass with her left or right hand, depending on the shot.
Continuity mistake: When Stanford jumps in the pool, Miranda's hands on the drink are not continuous between shots: First she starts grabbing the glass, then she is already grabbing it, then her left arm is down, then it's holding the straw.
Continuity mistake: At the pool, Charlotte says she got the leaflet from Anthony and Miranda stares at Stanford. A shot later she is looking at Charlotte.
Continuity mistake: At the pool, Carrie grabs the leaflet from the upper left par, but a shot later she grabs the middle left part.
Continuity mistake: When Miranda checks the leaflet with the male scorts ads, all 4 fingers except her thumb are behind the paper. From the opposite angle, her index finger is suddenly on the front part.
Continuity mistake: When the basketball game scene starts, the guy sitting next to Charlotte is raising his arms and cheering. A shot later he is sitting down reading a brochure.
Continuity mistake: During brunch, Carrie says she's waited long enough and takes the fork to her mouth. From the opposite angle her arm disappears.
Continuity mistake: After Sam kisses Phoebe hello, Phoebe's left arm is lowered, but raised and bent against her chest in the opposite shot.
Continuity mistake: Carrie takes the fork to her mouth but a shot later her arm is lowered. (00:01:10)
Continuity mistake: Big reaches for his glass but a shot later it's already raised and close to his chest. (00:01:16)
Continuity mistake: When Charlotte bumps into her friend on the street, the passers-by are not continuous between shots. (00:23:55)
Continuity mistake: When Debbie talks about the Knicks she places her arm on Steve's back, but it disappears in the opposite shot.
Continuity mistake: When Big lies in bed and Carrie visits him, his right index finger is either lying on the green sheets or on his white robe, depending on the shot. This swaps back and forth.
Continuity mistake: The number and colour of the domino tiles on the floor are not continuous between shots.
Visible crew/equipment: When Charlotte leaves her apartment building on the way to the party, she puts on large sunglasses. You can see what appears to be camera equipment, in the reflection of the plastic lenses. There are two white squares, which look like a camera light and filter screen. (00:22:20)
Visible crew/equipment: When Carrie and Aleksander arrive at the museum, he turns to close the cab door and his back is facing us. You can see the outline of a long cable running vertically down the center of his back, protruding from under his jacket. This cable goes from his neck down to the bottom flap of his jacket, and must be part of his mic. (00:31:00)
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.
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