Continuity mistake: When Carrie talks with Alek late at night at his studio, his right hand is on his cheek or not depending on the shot.
Continuity mistake: When Sam and Miranda watch the dog contest, there are two shots of Carrie: one with her arms down, listening to them; and a second one with her arms raised, fiddling with her scarf. This changes back and forth. (00:15:12)
Continuity mistake: When the dog contest starts, Miranda is clapping, then stops and lowers her hands. From the opposite angle, a shot later, her hands are raised and she is clapping and stopping again.
Continuity mistake: While Charlotte and Anthony groom the dog for the contest, a girl in a blue and white striped T-shirt walks by several times in all directions, no continuity at all. Also, the rest of the passers-by disappear in the opposite shots.
Continuity mistake: When the breakfast scene starts, Sam's hand position holding the mug is inconsistent between shots.
Continuity mistake: Alek cuddles closely against Carrie's back and places his chin over her collarbone. A shot later he is several centimetres away.
Continuity mistake: Miranda holds the Tattle Tale magazine with her left hand, but a shot later she holds it with both.
Out of the frying pan - S6-E16
Continuity mistake: When Charlotte introduces herself to the dog owner, the dog's head looks at a different place in every single shot.
Out of the frying pan - S6-E16
Continuity mistake: When all four girls are having Manhattans, and Miranda recalls an awful apartment she had, Sam's arms are under the table or on top, depending on the shot. Also, her purse appears and disappears randomly.
Out of the frying pan - S6-E16
Continuity mistake: The dog owner says the dog is a looser "and it's a shame", while Charlotte's left hand covers the dog's body. A shot later it's just over the dog's front leg. (00:10:45)
Out of the frying pan - S6-E16
Continuity mistake: At the park, Charlotte grabs the dog with her left hand raised. Shot cuts and now it's her right arm raised instead.
Out of the frying pan - S6-E16
Continuity mistake: When Charlotte is running at Central Park she outruns a woman with a grey woolen hat and stripped jacket. Shot changes and Charlotte is meters behind her, then outruns her again.
Out of the frying pan - S6-E16
Continuity mistake: The first shot of Charlotte's frying eggs shows the lower egg close to the pan's edge. A shot later it's on the middle part of the pan.
Out of the frying pan - S6-E16
Continuity mistake: When the episode starts, Carrie's left hand is on Alek's coat collar or not, depending on the shot. This changes several times.
Out of the frying pan - S6-E16
Continuity mistake: During dinner at Carrie's place, Alek's fork disappears in the wide angle.
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