Continuity mistake: During breakfast, when Carrie talks about Paris, Sam drinks her coffee raising her fingers. When the shot changes half a second later, the grip is totally different.
Continuity mistake: During breakfast, when Carrie says she's a hostage Miranda is drinking coffee, but a second later her mug is gone and she has a fork in his hand. Then shot changes and she is pinching food but, but a shot later her hands are still.
Continuity mistake: Charlotte holds the fertility exercises book with both hands in one shot, but just with one in the close-up.
Continuity mistake: When Steve says he's in stage 1 cancer his hands alternate between crossed and uncrossed between shots.
Continuity mistake: When Carrie and Aidan are in bed together, he hands her the second picture and she holds it with two hands. A shot later she is holding it with one. A couple seconds later she finally grabs it with both.
Continuity mistake: When Carrie leaves the bar, Shayna extends her arm towards the peanuts, but half a second later they're crossed.
Continuity mistake: When Miranda lies on the rug, the phone is next to the upper part of the rug. When the shot changes, it lies on the middle part, away from the rug.
Continuity mistake: When Sam runs towards the cab, the passers by are not continuous between shots.
Revealing mistake: When breakfast is served, Samantha mimics eating and chewing, but her fork is very obviously empty.
Continuity mistake: When Charlotte says she wants to quit her job, her hands are on the table. A shot later they are lowered. (00:02:45)
Continuity mistake: When the waitress brings Charlotte's breakfast, a shot later the waitress is magically gone, Charlotte's hand is on the mug and, last but not least, the blue napkin disappears.
Continuity mistake: When Miranda says "that's a big maybe" Sam is drinking coffee, but a shot later her arm is lowered. (00:02:12)
Continuity mistake: During breakfast, when Carrie says she "worked harder than her SATs" Sam's mug is close to Charlotte's bowl, but a shot later Sam is holding her mug, This swaps back and forth.
Continuity mistake: During breakfast, when Sam says "Honey, he's a keeper", lighting screens are reflected on her sunglasses.
Continuity mistake: When Miranda talks about her date licking her butt, the food on her fork disappears between shots.
Continuity mistake: At the store, Tricia's daughter is looking at the left or straight on, depending on the angle.
Visible crew/equipment: When Charlotte shows Tray the refurbished bedroom, a squared set light is reflected on the wardrobe.
Continuity mistake: When the girls are drinking Martini, Miranda lowers her glass twice.
Continuity mistake: When Carrie confesses Charlotte that she is calling Aidan, the dancers moving and waving their arms wildly behind Charlotte disappear between shots. One might argue that it's because of the angle of the shot, but they're all moving around all the time and at least their arms should be visible.
Continuity mistake: During dance class, when Carrie confesses she calls Aidan, the same woman walks behind her twice.
Answer: A popular brand of sexual lubricant. See http://www.k-y.com/index.jsp.
J I Cohen