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.
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 Aidan is cooking, two set lights are reflected on the cupboard.
Answer: A popular brand of sexual lubricant. See http://www.k-y.com/index.jsp.
J I Cohen