Continuity mistake: When Carrie is given the phone card her left arm swaps from raised to lowered between shots.
Continuity mistake: Miranda says "you've got an obvious pattern" and raises her arm to eat a cookie. From the opposite angle the arm is lowered. (00:04:52)
Continuity mistake: Sam's arm is lowered, but a second later it's raised and she's eating a cookie. (00:05:06)
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)
Continuity mistake: During the picnic, Carrie grabs a mug and raises it. From a different angle the mug is gone, but from another angle she is already lowering it from her mouth.
Continuity mistake: When Big and Carrie are arguing in the kitchen, after she smashes the burgers, the french fries container and the purse move around between shots.
Visible crew/equipment: At the phone booth, Steve says "blue moon", and right then two lighting screens get reflected on his lenses. (00:23:42)
Continuity mistake: When Steve is dozing and Miranda wakes him up, his hands lay by his sides or are crossed on his tummy, depending on the shot. (00:18:51)
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: At the bingo place, Miranda's Martini is on the table, but a shot later she is holding it.
Continuity mistake: Carrie holds her fork with her right hand, but half a second later it's in her left hand. Then it reappears in her right hand. (00:04:59)
Continuity mistake: Sam says "it's not what they look like, it's what they can do with it" and holds her fork next to her mouth. From the angle shot from behind hand and fork disappear.
They shoot single people, don't they? - S2-E4
Continuity mistake: After Miranda has had sex, his boyfriend's pillow is either ironed in the angles shot from behind or wrinkled in the front shots. This swaps back and forth.
They shoot single people, don't they? - S2-E4
Continuity mistake: While jogging, Miranda meets Josh who has a group of kids running behind but they never appear in the following opposite shots.
Continuity mistake: Carrie cries out "where are our drinks!" and Samantha (yellow glass) turns around and raises her arms to call the waiter. But a shot later her arms are on the table next to her glass.
Continuity mistake: Right before and the moment where the girls sing 'Memories' the cigarette package on the table keeps changing positions in every shot.
Continuity mistake: During cocktails, Carrie says "there are 2 type of girls" then two guys in a suit walk by behind her. In the following shot they disappear.
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