Revealing mistake: When Sam and Jerry watch the billboard, a blue car passes by and the driver slows down and stares at the filming.

Lights, camera, relationship - S6-E5
Revealing mistake: Right when the episode starts, a group of bystanders gather to stare at the filming.
Revealing mistake: While Carrie and Sam are in the bar car, the train bumps and the passengers swerve to the left.Problem is, they do not move in sync, revealing the camera trick. The first one to move is the girl in front, and a second later the woman on the left moves.

Revealing mistake: When the baby is about to be baptised, it is replaced by a blatant doll: The doll's arm is stretched out (as opposed to the real baby's arms, tucked in his robe), and the doll's hair is very obviously painted.
Anchors away - S5-E1
Revealing mistake: Exactly half a second after it starts to rain at the museum, the street is already soaking wet and covered in puddles.
Anchors away - S5-E1
Revealing mistake: When the cat is playing with the navel, it moves as if it has a life of its own, which is absurd and reveals that there was some wire or mechanism to move it.
Revealing mistake: When the episode starts and credits are still rolling, there are obvious groups of bystanders watching the filming and staring straight at the camera.
Revealing mistake: When breakfast arrives, Samantha mimics eating and chewing, but her fork is very obviously empty.
I heart ny - S4-E18
Revealing mistake: When Sam and Carrie walk, bystanders sneak-in shot to stare at filming.

Revealing mistake: When breakfast is served, Samantha mimics eating and chewing, but her fork is very obviously empty.
The power of female sex - S1-E5
Revealing mistake: The first aerial shot of the trendy restaurant the first time Carrie and Sam go, is the very same shot used when Carrie goes again and says "another Saturday night." (00:00:58 - 00:18:26)

Attack of the five foot ten woman - S3-E3
Revealing mistake: When Charlotte finally undresses in the sauna, she throws the towel to the floor and removes her hand from her breast, but a white bra is briefly seen.
Revealing mistake: When the girls have a salad, Miranda never eats nor has any food on her fork, she just mimics eating.
The power of female sex - S1-E5
Revealing mistake: The very first aerial shot of Balzac the first day Carrie and Sam go, is the exact same shot when they go again several days later. (00:00:58 - 00:18:25)
Revealing mistake: When Samantha tells Mr Cocky to be nice and easy she is not naked, but wearing skin-coloured underwear.
I heart ny - S4-E18
Revealing mistake: Just after Big has left NY for good, Carrie leaves his apartment and is walking down the street. A leaf (that another mistake pointed out was digital as it was falling to the ground) is lying on the sidewalk. Carrie picks it up, but it is obviously an artificial one made from plastic and fabric.

A woman's right to shoes (a.k.a. no shoes, no service) - S6-E9
Revealing mistake: When Charlotte and Carrie walk down the street there's a group of bystanders behind watching the filming. One of them is even taking pictures.
Anchors away - S5-E1
Revealing mistake: When Miranda is breastfeeding the baby, there 2 obviously different breasts and bodies: In the close-up (real breasts) the areola is small; but the prosthetic breast has much bigger areolas.
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