Visible crew/equipment: After Lorelai gets off the phone with Richard, when it cuts to the bakery we can see the reflection of the camera as it moves past the chrome display case. (00:11:50)
Visible crew/equipment: When Rory (holding the muffins) and Lane are walking on the porch heading to the garage, the reflections of crew, equipment, and the camera operator are visible on the windows. (00:11:05)
Visible crew/equipment: While Rory and Paris are in Charleston's office, when the two girls are arguing the shadow of the boom mic is moving around on the wall behind Rory. (00:23:10)
Dear Emily and Richard - S3-E13
Visible crew/equipment: In the flashback, when Emily is calling out for Lorelai but there's no answer, Emily spots something on the table, and just as she walks toward the table the crew member wearing a white short sleeved shirt is visible at the doorway. (00:39:15)
Dear Emily and Richard - S3-E13
Visible crew/equipment: In the flashback, while Lorelai is being wheeled to the delivery room, when Emily argues that she had a right to drive her daughter to the hospital, the reflections of the camera operator and the camera are visible on the glass beside Emily. Then it's seen again on the left glass window of the delivery room as it closes. (00:33:05)
Visible crew/equipment: When Rory and Paris are waiting to see the Headmaster, each time the door to Charleston's office is opened, the actor's T-mark is visible on the floor in the doorway. (00:22:25)
Visible crew/equipment: While Rory and Lane are in the beauty supply store, when they both crouch down looking at the lower shelf, the T-mark is visible behind Lane where Rory had been standing when they first walked in. (00:12:00)
Visible crew/equipment: When Luke gets frustrated with the construction noise he storms out of the diner, and at the start of the next shot we can see an actor's T-mark taped to the ground at the bottom of the screen, where Luke will be standing in a moment. (00:03:40)
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)
Other mistake: While Luke and Lorelai are talking about Rachel in the storage room, after Lorelai places some jars on the shelf, the jars on the shelf behind Lorelai turn, change position or vanish, between shots.
One's Got Class and the Other One Dyes - S3-E4
Visible crew/equipment: Right before Lane walks out of band practice you can see part of the mic guy's body and elbow at the right side.
Visible crew/equipment: Right before Max and Lorelai go up the stairs, a crew member's arm is seen on the right side as they step out of the shot. (00:34:00)
Visible crew/equipment: When Lorelai and Rory are in the kitchen talking about the to-do list, the camera is visible in the reflection on the microwave. You can see the cameraman's hand rotating the control to move the camera as Lorelai sits down. (00:07:20)
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.
Richard in Stars Hollow - S2-E12
Visible crew/equipment: Lorelai is telling Rory there is no school - as it scans past the kitchen for a quick second you can see the top of the set.
Continuity mistake: Lorelai walks into the kitchen and tells Sookie "she did it" and only has a brown bag in her hand. In the next shot she has a brown bag in one hand and the Chilton letter in the other.
The Prodigal Daughter Returns - S6-E9
Continuity mistake: April is in the diner taking a hair sample from Luke and takes his photo. She puts the camera in her pocket and in the next shot she has the camera in her hand again.
It Should've Been Lorelai - S2-E14
Visible crew/equipment: After Sherry asks Lorelai where Rory is, she then asks Lorelai about her dinner with Christopher, and a mic drops into shot above Sherry's head. (00:38:05)
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)
The Bracebridge Dinner - S2-E10
Continuity mistake: When Dean and Clara first arrive at the Inn and are shown talking to Rory, Luke and Jess arrive in the background and Luke removes his jacket. In the next shot his jacket is back on and he removes it again.
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.