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)
Starring: Lauren Graham, Edward Herrmann, Alexis Bledel, Keiko Agena
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)

Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: When Rory asks Lorelai to call Emily to get her out of Friday night dinner so she can celebrate her and Dean's 3-month anniversary, a boom mic drops into the shot as Lorelai stands to get the phone. (00:07:05)
Lorelai Gilmore: I'm going to the coat closet to make out. Don't eat my chicken.
Rory Gilmore: That's going on your tombstone.
Question: Does Lane live with both her parents? I've heard her talk about "parents" in plural but I've never seen her father, nor heard anyone talk about him. Anyone who knows?
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.