Lights, camera, relationship - S6-E5
Continuity mistake: When Jack and Carrie are arguing in the street, Jack stretches out his arms widely asking for a hug. Carrie starts walking towards him, but in the very next shot suddenly Jack's arms are down by his sides. (00:23:35)
Continuity mistake: After Carrie rents the car and takes it back, she and Miranda are sitting on the couch talking. As Carrie says something, she turns her head to the right, looking straight at Miranda. When Miranda replies, "Well, that's one option", you can still see Carrie's head in the shot, turned towards Miranda on the right. But then in the next shot of Carrie, she is facing straight ahead and talking in the middle of a sentence. (00:19:30)
Anchors away - S5-E1
Continuity mistake: When the cop tells Sam not to stick bills on lamp posts, the first shot shows the bills crumpled and messily stuck. A shot later they're neatly placed. Then yet another shot later their position changes for a third time.
Continuity mistake: When Carrie is reading the magazine and Aiden punches a hole through her wall, the hole looks to be about 4 feet from the corner of the wall. But after Carrie gets up and runs into the other apartment to confront Aiden, the hole in the other side of the wall is suddenly about 8 feet from the same corner, much further away. (00:12:55)
The real me - S4-E2
Continuity mistake: As the group are discussing Samantha's nude photos in the restaurant, a salad Miranda has ordered arrives at the table. Just after Carrie says "that we know of" you can see the waitress place both the salad and a ramekin of dressing onto the table from behind Miranda. The shot then cuts to the front and the waitress is shown putting the ramekin down for the second time.
The big time - S3-E8
Continuity mistake: When the girls are in the bathroom talking about their periods and doing their make up, we see Carrie remove the hair scrunchie from her wrist with her teeth twice, once in the mirror in a shot from behind, and then again from the front.
A woman's right to shoes (a.k.a. no shoes, no service) - S6-E9
Continuity mistake: In this episode, Brady has the Chicken Pox. But when Robert visits Miranda at home and picks up Brady, there is absolutely no sign at all that he has Chicken Pox. It takes awhile to get over Chicken Pox, and for them to fade. So even if Brady is recovering from having Chicken Pox recently, he would still show signs of it. It couldn't go away that fast, and it's way too soon for Brady to be completely clear. (00:12:55)
Continuity mistake: When Carrie knocks the vase to the floor, it rolls away and settles beside the leg of her couch. In the next shot, it's lying on the floor next to the table she knocked it from.
The agony and the 'ex'tasy - S4-E1
Continuity mistake: When Miranda bumps into Cheryl on the street, she holds out her arm and starts shaking it like she is shaking Cheryl's hand but when the shot changes to Cheryl, she hasn't even taken Miranda's hand yet.
Continuity mistake: During this scene when Samantha is confronting her new assistant, the office set-up is completely different than before, when Nina G. was working for her. The assistant office space is much larger, glass desk, different angle, next to small conference room instead of Samantha's office, etc.; obviously not the same office set as previously used. Yet Samantha has not changed offices at all during this time period, as it wasn't too long ago when she fired Nina G. Something as major as changing offices would definitely have been mentioned in the plot (as changing apartments always is); and there hasn't been enough time since she fired Nina G. (00:13:45)
Suggested correction: You're assuming that moving to a new office must be a plot for a new episode, which makes no sense (plus, it's a show that revolves around sex, women, restaurants and bars). Furthermore, the episode you mention is S2E17. Many months have passed and it's perfectly plausible for Sam to move some place else.
Continuity mistake: When Charlotte is signing her divorce papers, there is a close-up of Harry's face leaning over her. It's covered with large drops of sweat, some of which drip onto the paper. But in the next shot of Harry when he is standing up, he isn't nearly as sweaty. Most of the perspiration on his face seems to have disappeared. (00:07:00)
Continuity mistake: When sitting at the bar, Samantha points to Charlotte and her date, who are heading up the stairs arm in arm carrying nothing. Yet in the next scene when they arrive at the honeymoon suite, they suddenly have their arms full with a large bag and a basket.
Continuity mistake: When Carrie is holding the pie pan, she is startled by the squirrel on the window and drops the hot pan, burning her legs. She is facing forward directly towards the pie pan, and as it falls it could only have burned the front and possibly a little of the sides of her legs. But later when she is sitting on the kitchen table, Aiden takes some ice from the iced tea pitcher and puts it in both of his hands. He then asks her where she was burned, and proceeds to gently rub the ice on the back of both of her legs, not the front or sides where she was burned. He is only rubbing the back of her calves, below the knees. (00:25:00 - 00:25:45)
Continuity mistake: When Carrie and Steve are sitting on his front steps discussing Aiden, Carrie is looking forward as Steve says "He lost his ability to open up and trust women." At that moment; Carrie turns her face towards Steve to her left, and keeps it there as she is appalled. But the very next shot; Carrie is suddenly facing forward again, and then starts turning her head left towards Steve for a second time. But in the next shot; she is already facing Steve, from the first time she reacted to what he said. It's clear that she had never actually moved her head after the first time. (00:25:30)
An american girl in paris (part deux) - S6-E20
Continuity mistake: When Miranda is running in the streets looking for Mary, there is a close-up shot of her face. You can see that it's raining heavily, as the rain is apparent in the scene. But during the rest of that sequence, as she is out in the streets, there are no other signs of rain, or of people being affected by rain. There is just snow on the ground. (00:28:30)
Continuity mistake: When Carrie arrives backstage at the fashion show, she's wearing a black dress with a long jewelled necklace that is wrapped once around her neck and hanging down on both sides of her chest, like a scarf. When the fashion show starts, the necklace strands are tied together in a big knot/wrapped around her neck more. Then, when she's about to get in a cab home, they are untied/hanging down again.
The post-it always sticks twice - S6-E7
Continuity mistake: If you check the Post-it note on the previous episode and this one's, it is not the same note. It's very similar, but the "t" in "Can't" is different, the apostrophe in "I'm" is within the word then above it, and other small differences.
An american girl in paris (part deux) - S6-E20
Continuity mistake: Both of Harry's hands are on the table, but in the next shot his left hand (with his wristwatch) is up, then in the next shot both are back down. He then raises his right hand while his left hand remains on the table. (00:20:10)
An american girl in paris (part deux) - S6-E20
Continuity mistake: Outside the pastry shop, Carrie's cigarette packet is either in front or behind the coffee cup depending on the angle.
Anchors away - S5-E1
Continuity mistake: When Carrie is talking to the cute guy while hiding out from the rain, she tells him, "I was engaged last year". But the previous episode, when Mr. Big moved to Napa, it was just becoming Fall in NYC. So it doesn't seem likely that only one episode later, it would be months later into the next calendar year. (00:17:40)