The Bracebridge Dinner - S2-E10
Visible crew/equipment: During The Bracebridge Dinner, the entire time Richard is talking, each time they cut to Lorelei there is a mic on the right side of the screen which goes on for about six shots.
Continuity mistake: Lorelei's casual date brings his parents into Luke's and even though the windows are covered and you can't see outside, the cash register is at the wrong end of the counter.
The Bracebridge Dinner - S2-E10
Visible crew/equipment: Right as Lorelei thanks everyone for coming there is a piece of equipment showing in the top left corner.
Friday Night's Alright for Fighting - S6-E13
Continuity mistake: Lorelei is eating marshmallows covered in chocolate syrup. The amount of marshmallows on the plate changes as does the chocolate to marshmallow ratio in the bag next to her.
New and Improved Lorelai - S6-E1
Continuity mistake: During Rory's court appearance the door to the courtroom is closed. When Richard jumps up to yell at the attorney the door is suddenly wide open.
New and Improved Lorelai - S6-E1
Continuity mistake: During Rory's court appearance the gavel and water glass on the judge's desk change positions repeatedly.
Continuity mistake: When Sookie is reunited with Joe from the Deerhill Lodge, Lorelai pours herself a cup of coffee, then after Joe and Sookie have hugged, in the shots facing Sookie and Joe we see Lorelai's hand holding the cup, but in the shots facing Lorelai and Alex, Lorelai's hands are empty. (00:15:25)
Those Lazy-Hazy-Crazy Days - S3-E1
Continuity mistake: After Luke and "Mimi" talk at the diner Lorelai comes home, and while she and Rory sit on the couch note the open window behind them, with a clown pillow in front of it and the porch chair on the other side, but when Lorelai asks for her purse because she's hungry it cuts to the exterior shot, and nothing is blocking the view through that window. (00:41:00 - 00:43:00)
Continuity mistake: While Rory is at Doose's, when Dean surprises Rory and kisses her, in the first shot facing Dean his head is leaning to his left, but in the next shot Dean's head is now suddenly leaning to his right. (00:04:30)
Continuity mistake: When TJ is at the diner telling Luke about Liz's plans, Luke pours TJ a cup of club soda, and in the shots facing TJ the bottle of club soda is on the counter directly in front of Luke, but in the shots facing Luke the bottle is off to the side near the sugar. (00:11:00)
Continuity mistake: After Lorelai and Christopher bring coffee and donuts to Rory and the other newspaper staff, while Rory's talking to her parents she's holding a blue pencil and papers with no clipboard in sight, but when Chris and Lorelai say goodbye Rory's pencil is black and a clipboard has suddenly appeared in her closeup. (00:40:50)
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 Lorelai tells Rory she doesn't have to go into the Dean of Admissions' office, Emily is standing right next to her but when Lorelai turns to step away from Rory, Emily is many steps back.
They Shoot Gilmores, Don't They? - S3-E7
Continuity mistake: During the dance marathon while Luke is fixing Lorelai's shoe, Taylor can be seen on the podium in the background changing from standing to sleeping over and over.
Take the Deviled Eggs... - S3-E6
Continuity mistake: During the baby shower while Lorelai and Sherry are talking alone at the food table, all the contents on Sherry's plate keep changing.
One's Got Class and the Other One Dyes - S3-E4
Visible crew/equipment: Right before Lane walks out there is a crew member watching the scene from the doorway of the back room and then she quickly ducks back inside.
Haunted Leg - S3-E2
Visible crew/equipment: Rory gets dragged in the bathroom to discuss hem lines and the entire time the mic guy can be seen in the shadow on the wall behind her.
Dead Uncles and Vegetables - S2-E17
Continuity mistake: When Lorelai and Luke are sitting at his kitchen table, there is a box behind Lorelai with a shirt that goes from hanging out of the box to being in the box repeatedly.
Dead Uncles and Vegetables - S2-E17
Visible crew/equipment: Rory interrupts Lorelai and Luke talking at his kitchen table and as Lorelai walks out of the room you can see the boom mic drop in the mirror over Rory's head. (00:19:45)
Audio problem: When Rory and Jess are talking in the car, there's a mismatch sound when Rory says "whatever" followed by "wherever". (00:19:00)
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.