Continuity mistake: When Carrie and Berger enter the Lincoln Center there's a man behind Berger smoking. When they enter the place a second later, the man has vanished.
Continuity mistake: While the girls wait for their table, check the apple on Sam's cocktail and you'll notice that the glass' position is inconsistent between shots.
Continuity mistake: Right when the episode starts Carrie is grabbing a long piece of melted cheese that stretches out of her burger into her mouth. Half a second later the burger and cheese have vanished. And her arm is lowered.
Continuity mistake: When Carrie and Miranda talk while sitting on the bench, a couple suddenly appears behind them.
Continuity mistake: When Miranda dines with Steve her menu is lying on the plate or resting on her bosom, depending on the shot.
Continuity mistake: When Carrie's date splashes vinegar on his sty, the position of his left arm is inconsistent in every single shot.
Continuity mistake: Charlotte asks Carrie how many outfits has she bought, and takes her left arm to her hair. Half a second later her arm is lowered. (00:01:30 - 00:13:29)
Continuity mistake: When Charlotte tells Carrie to go on the second date, there's quite an editing chaos with Charlotte's glass: It suddenly appears in her hand without her having picked it up. Then she puts it down but a shot later she is drinking again.
Continuity mistake: During lunch at the diner with the girls, Carrie's straw swaps between pointing in a 3 o'clock direction to an 8 o'clock, back and forth.
Continuity mistake: Carrie talks about dating Berger and says "leave it to me... which is flexible" and puts her left hand on her heart. A shot later her arm is lowered by her side.
Continuity mistake: When the girls starts having lunch, Sam's arm is raised then suddenly lowered. (00:12:40)
Continuity mistake: Charlotte tells Harry "you changed your mind with the Jewish thing" while she caresses his chest and his hand is lowered. A shot later his hand is suddenly on his chest and his fingers are entwined with Charlotte's.
Continuity mistake: When Charlotte wakes Harry up, his left hand is on his tummy. From a different angle his hand is by his side and he is rising it again.
Continuity mistake: Steve grabs the baby wipes and leaves none in the box. A shot later a wipe is magically sticking out.
Continuity mistake: When Miranda tries to clean her forehead, the baby's head lies on her collarbone. A shot later the head is away and staring at Steve. Then we go back to the first shot and the baby is lying against the collarbone again.
Continuity mistake: The amount of feces on Miranda's forehead changes between the first time she smudges it on her forehead and half a second later when Steve warns her. This happens before the listed mistake that takes place when he wipes the poo off.
Continuity mistake: Charlotte drinks from her glass but her arm is lowered a shot later. (00:05:45)
Continuity mistake: While having dinner with Harry, Charlotte grabs her bread and breaks it in half, then eats a bit. From the opposite angle she is grabbing the whole bread again and breaking it in half again.
Continuity mistake: While having lunch at the Meat Packing District, Sam grabs her lipstick but it disappears a shot later.
Continuity mistake: When Carrie exits the Wall Street subway station, the passers-by on the right are not continuous between shots.
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