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.
Continuity mistake: When Smith shows Sam the invitation, the grip on the card differs between shots.
Continuity mistake: When Miranda and Steve are drinking beer he says "I don't wanna lose you again", and suddenly Miranda's arms appear on her chest. (00:01:43)
Continuity mistake: Carrie grabs the fork and knife with her left hand, but a shot later the knife disappears. (00:04:23)
Continuity mistake: Sam grabs the InTouch magazine from the sides, but a shot later she is grabbing it from the upper part. (00:08:18)
Continuity mistake: When Sam is showing Charlotte and Carrie the inside of InTouch magazine, Sam's hand is on the left page, but it disappears in the close-up shot. (00:08:30)
Continuity mistake: When Carrie and Alek dance at McDonald's, the clerk puts down a french fries container and stares at them. Shot swaps to a wide angle of the couple continuing their dance moves in real time, though now the clerk is away, giving her back to the couple. She turns around, walks towards them again, but this time she places a burger on the tray. (00:19:09)
Other mistake: When the plastic surgeon is giving Samantha a breast exam, you can tell that he isn't really examining her breast. He is actually moving his hand in a circular motion in the air above her breast pretending to give her an exam, but is touching her hospital gown instead. (00:20:20)
Other mistake: At Steve and Miranda's wedding, Charlotte is holding baby Brady, who looks younger than a year (around 8 months) and is using a pacifier. But in 2 episodes prior, they celebrated Brady's 1st birthday and the actor who played Brady looked way older than the Brady at the wedding. I know they cast different kids, but it seemed as if Brady aged backwards.
Continuity mistake: When Alek and Carrie are about to dance at McDonald's, her left hand lies on the counter, but appears next to her forehead a shot later.
Continuity mistake: When the doctor examines Sam's left breast, the strap on her right falling from her robe changes positions between shots.
Continuity mistake: Carrie offers Alek a french fried potato zigzag shaped, but when she says "It's French" it swaps to straight.
Continuity mistake: Alek orders a burger and Carrie slouches and slides down to rest on the counter. From the opposite angle she is standing tall.
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