Twenty-One Is the Loneliest Number - S6-E7
Other mistake: Though I love the 21st birthday at the casino plan, it's flawed. Rory will not be able to play blackjack until she is 21. She can't be playing when she turns 21. Casinos, to the best of my knowledge, won't let you on the gaming floor unless you are 21. She has to turn 21 first.
Twenty-One Is the Loneliest Number - S6-E7
Other mistake: After Emily goes to the pool house on the pretence of looking for a blouse, she asks Logan about plans for Rory's birthday. Later, Emily and Richard talk. Emily suspects that Rory is ready to have relations with Logan. She says that she caught them getting cozy on the couch. Emily didn't catch them doing anything. There was no way for Emily to see inside. Both Logan and Rory got off the sofa to answer the door. Emily didn't see anything. And, Logan told Emily that he had no plans for where his birthday. He knows that Emily is planning a party, yet he offered to take Rory away for her birthday. Emily would've been devastated.
Let Me Hear Your Balalaikas Ringing Out - S6-E8
Visible crew/equipment: When Rory is trying to get a very drunk Logan into her car, the boom pole and mic are reflected on the car's windshield. (00:16:05)
The Prodigal Daughter Returns - S6-E9
Visible crew/equipment: Right after the opening sequence, in the shot of Emily reading the newspaper at the table, the T-mark is visible on the floor beside the door. (00:04:50)
The Prodigal Daughter Returns - S6-E9
Visible crew/equipment: When Rory returns home Lorelai rushes out and they hug, then as the steadycam operator circles them the camera casts a moving shadow on Lorelai and Rory. (00:41:55)
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.
The Prodigal Daughter Returns - S6-E9
Continuity mistake: At the beginning of the episode, Lorelai can't get in the front door because Luke has installed a chain lock. Near the end of the episode, when Rory returns home and Lorelai rushes out the front door, there is no chain lock present on the door.
He's Slippin' 'Em Bread... Dig? - S6-E10
Visible crew/equipment: While Lane and her bandmates are at Sophie's music store, two T-marks are visible on the floor. (00:16:50)
He's Slippin' 'Em Bread... Dig? - S6-E10
Visible crew/equipment: After Rory calls Paris to tell her she's going back to Yale, when Lorelai walks into the kitchen and removes her jacket, the red T-mark is visible on the floor behind her chair. (00:23:35)
Continuity mistake: Rory is wearing black gloves when she is packing up her car and finds her community service vest, but in the shot facing Lorelai as Rory hands her the vest the glove is gone, then it reappears. (00:04:45)
Visible crew/equipment: When Rory is finally going back to Yale, in the scene where she and Lorelai are standing by the car debating who Paul Anka likes better, Rory gets in the car to drive away, but in the next shot of the car actually driving away, you can see what is a man's arm driving the car. (00:06:50)
Just Like Gwen and Gavin - S6-E12
Continuity mistake: When Lane spins the Doggy Swami wheel, the number 5 is at the top, and Lorelai removes the piece of paper under it. When it changes to the close up shot, the wheel now has the number 20 at the top with the piece of paper under it drawn. (00:40:15)
Just Like Gwen and Gavin - S6-E12
Continuity mistake: April tells Lorelei her dad owns the place and she puts the box of rice down, but when April tells Luke that Lorelei said she wasn't a strangler she puts the box down again.
Friday Night's Alright for Fighting - S6-E13
Continuity mistake: When Richard hands Rory her martini, she puts it on the table in front of her. In the next shot she puts it down once more.
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.
Continuity mistake: When Lorelai enters the kitchen and sees Rory cooking the juicer is visible, but in the next shot you see Rory go to the drawer and get it. (00:25:24)
Factual error: This episode takes place in Connecticut in February. When Luke and Lorelei are leaving her house to go to the Vineyard, they are not wearing coats, there is no snow, and all the trees have leaves and plants are in bloom.
Continuity mistake: When Lorelai and Luke are talking in bed she is wearing a robe. It goes from on to off her shoulder with each shot.
Continuity mistake: Rory and Lorelai are talking on cell phones and Rory has her hands full with her pencil and her cell phone and every time they cut back to her her hair has been moved around. It goes from being behind her shoulder to in front of her shoulder, then completely behind her neck without her touching it.
Lorelai's First Cotillion - S7-E3
Continuity mistake: When Emily asks Richard a question at the dinner table, he is holding a glass. In the next shot, when he answers, he is not holding the glass. (00:08:35)
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.