Continuity mistake: Lorelai and Luke are having a romantic dinner in his apartment. She puts candles in the sticks at an angle, but when they return to the table the candles are straight in their holders. (00:18:00)
Visible crew/equipment: While Liz and TJ are arguing in Luke's bathroom, when Luke puts the lid on the plastic container with the cheesecake for Lorelai to take home, we can see the shadow of the bouncing boom mic on the cabinet over the stove. (00:36:25)
Visible crew/equipment: When Rory comes out during the party to meet Dean, he says, "I don't belong here, not anymore, do I?" then as he says, "You look good," a boom mic drops over his head. (00:39:20)
Visible crew/equipment: After Emily asks Lorelai to help her with dating etiquette, when Lorelai and Rory leave the house some filming equipment is visible at the top left side of the screen. (00:20:20)
Visible crew/equipment: When Lorelai and Christopher are at the Dragonfly looking at the lunch menu, filming equipment (looks like the second camera) is visible at the left side of the screen, and it's visible again when Lorelai describes Michel and the bathrobe bandits. (00:22:15)
Visible crew/equipment: When Loralie walks out of the kitchen with a bowl of popcorn you can see the camera is slightly covered on the left side of the screen. (00:49:53)
Continuity mistake: When Lorelai and Christopher are at the inn Georgia is with them at the table in her high chair, but in a few shots the high chair is empty despite the fact that Lorelai supposedly turns to talk to Georgia.
But Not as Cute as Pushkin - S5-E10
Continuity mistake: When Paris goes to speed dating Rory tells her it's 11 at night and her hair is up, but during speed dating, her hair is down and its daylight outside.
Women of Questionable Morals - S5-E11
Other mistake: When Rory goes to see her father after Strobe dies, she brings a paper bag with cookies. Christopher comments "and milk", even though the bag was creased. He couldn't see into the bag because the bag is closed.
Visible crew/equipment: During the Dragonfly's staff meeting, when Michel stands up and announces, "We have a problem with some honor bar discrepancies," the T-mark is visible on the floor between Michel and Lorelai. (00:06:30)
Other mistake: Lorelei, Rory, and Luke are about to leave for Emily and Richard's wedding. Babette is on the sofa half passed out from the bachelorette party. When she hears Lorelei speak her name her head pops up to say goodbye, and she also comments that Luke looks nice. Luke is wearing a long overcoat. She could not possibly see how he looks, plus she was viewing him from behind.
Other mistake: Lorelai is in bed post breakup. Rory returns from running errands for her. She comes upstairs with Frank who is carrying the television. Frank puts down the television and leaves. When Rory leaves, Lorelei turns on the TV. No one plugged it in or hooked up the cable, assuming that cable is installed in her bedroom (which is extremely doubtful). Lorelai would not have been able to flip through channels as she did.
Continuity mistake: When Rory and Paris sit down to eat cereal in the cafeteria, the table has dirty dishes on it, but when they call over the girls, the table is clear.
Continuity mistake: When Lane delivers lunch from Luke's to Rory in the bookstore, the couple seen outside (man in black jacket and woman in white coat) are seen approaching and picking up a magazine not once but four times. They re-approach and pick up the magazine in each camera shot of Lane. (00:27:45)
Visible crew/equipment: When Emily enters the diner and says hello to Luke, two yellow T-marks are taped to the floor, then when she approaches the counter the actor's blue tape mark is visible at Luke's feet, and as Luke walks to the coffeemaker another tape mark becomes visible. (00:40:20)
Visible crew/equipment: At the start, Lorelai brings home the bags of assorted tacos, and when Lorelai stands at the counter pouring coffee, we can see the red T-mark taped to the floor where she's standing. (00:00:50)
Visible crew/equipment: In Logan's apartment, when Lanny is telling Logan that Cassandra called, an orange T mark is visible on the carpet to the right of Rory. (00:05:01)
Visible crew/equipment: After Luke admonishes Sookie and takes the ladle away from her, when it cuts to Logan's dining room we can see the crew's mat with blue gaffer tape at the bottom left corner of the screen. (00:26:25)
How Many Kropogs to Cape Cod? - S5-E20
Visible crew/equipment: When Emily notices her sewing box is missing and picks up the replacement there is a mic in the top right corner. (00:34:35)
How Many Kropogs to Cape Cod? - S5-E20
Character mistake: On the first day of Rory's internship, she is told she needs to get an ID, to which she replies she never had an ID before, but she got an ID during her first day at Yale, which she and friends later pretended to lose to get new ones.
Chosen answer: Lorelai and Christopher get married impulsively in Paris but they get divorced shortly after returning home. I don't know the exact number of days or weeks but they definitely weren't married for more than a couple of months.