The Fundamental Things Apply - S4-E5
Continuity mistake: When Rory comes into the room to answer the phone and sees Paris avoiding the call because it's her boyfriend Jamie, she empties the contents of her school bag onto the desk, including her mobile phone. Then later in the scene when Rory suggests Paris use her mobile phone to call Jamie, she pulls it out of her bag again, despite having left it on the table all but half a minute earlier.
Continuity mistake: While Lorelai and Sookie are with Emily doing the test meal, when Emily tells Lorelai to remove the plates she picks up the two plates and walks out of the dining room, but in the next shot the plates have switched hands. (00:23:35)
Continuity mistake: Lorelai and Sookie take some containers out of the car and head towards Emily and Richard's door. When you see the next shot of them at the door, the containers Sookie is carrying are different from the ones she took out of the car, without her rearranging them.
Continuity mistake: In the scene where Rory is talking to Lane on her cell phone, she sits down on a bench. On that bench is a guy reading a book. The scene shifts to Lane in Stars Hollow, and when it shifts back to Rory at Yale, the guy on the bench is gone. (00:16:40)
Continuity mistake: While Lorelai is at the diner talking to Luke about Nicole, when she takes a seat at the counter she places her black purse on the stool beside her, but in the following shots that purse repeatedly reappears and disappears from her shoulder, depending on the camera angle. (00:23:25)
Continuity mistake: When Rory is sitting in the theatre, on the phone to Lorelai, we see the same people walk behind her twice - the woman with white jeans on and the woman with beige trousers. (00:42:10)
In the Clamor and the Clangor - S4-E11
Continuity mistake: When Lorelai walks into Luke's apartment, she has a doughnut in her right hand, but as she's looking around the apartment and then leaving, the doughnut is nowhere to be seen. (00:25:16)
The Incredible Sinking Lorelais - S4-E14
Continuity mistake: Dean calls Rory, and towards the end of the conversation mentions getting his first cell phone. This is false. He's had a cell phone the whole series. Paris even calls it in the season 2 episode "Can't Get Started" when Rory and Dean are at Sookie's wedding.
Continuity mistake: During the phone call between Emily and Lorelei about the grandmother's passing, the ceramics on the table change positions many times.
Continuity mistake: Right before Lorelai goes outside of the Dragonfly to talk to Jason you can see she is standing behind a desk, then later Michel says that he is sick of sitting on the floor and wonders when the desk is coming.
Luke Can See Her Face - S4-E20
Continuity mistake: In this episode, Lorelai tells Luke that she needs to tell the plumber that rooms 10, 12, and 15 have no water pressure, but earlier in this season when she gives the presentation at the town meeting about the Inn to get her permits approved, she says that the inn will only have ten rooms. It is also mentioned in the last episode of the season when Lorelai puts her parents in room 12. (00:04:10)
A Messenger, Nothing More - S5-E2
Continuity mistake: Lorelai's hair is once curly, once straightened in every other shot after she leaves her house with Rory up until she meets Luke. (00:31:45)
We Got Us a Pippi Virgin - S5-E5
Continuity mistake: When they are starting Pippi and Luke is asking about her hair, you can see Dean's hand on Rory's shoulder on the side of the shot. Then it pans to them and then Dean is putting his arm around Rory.
Norman Mailer, I'm Pregnant! - S5-E6
Continuity mistake: Sookie is telling Norman about the menu - twice during this conversation the same inn worker walks into the scene behind her with a duster in his hand.
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)
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.
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)
A House Is Not a Home - S5-E22
Continuity mistake: When Lorelai is talking to Richard and Emily about Rory, Richard writes down the name of an attorney and closes his memo pad but in the next shot it is open again with his pen poised.
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.