Continuity mistake: After Rory is walking with Dean, it goes to a shot of Rory and Lorelai eating at Luke's Diner from outside. Rory is wearing a light blue sweater and Lorelai has a black shirt on. Then it goes inside the diner and Rory is wearing a dark bluish/grey sweater and Lorelai is wearing a purple shirt. The first exterior shot is used from the very last scene of the episode. (00:27:05)
Continuity mistake: Kirk introduces himself as "Mick" in the second episode. From episode 3 and throughout the series his name is "Kirk."
Continuity mistake: The appearance of the Gilmore mansion is very different in this episode than in following episodes. Here there are steps leading up to the front door, but none in later episodes, and the area people park their cars changes significantly as well.
Continuity mistake: In the opening scene Lorelai crosses the street to Luke's which is in the middle of the block instead of on the corner of the block.
Continuity mistake: In the shot where Lorelai and Rory are in Luke's diner, after Lorelai moves her burger in front of her, the plate changes positions several times between shots.
Continuity mistake: In the opening scene, and all episode, Luke's diner is considerably smaller than the rest of the series. He has a shelf with random hardware and fishing items that is a window the remainder of the series.
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.
Continuity mistake: There is no building next to Luke's in the pilot, but in subsequent episodes there is one, which he buys.
The Lorelais' First Day at Chilton - S1-E2
Continuity mistake: When Lorelai drives Rory to Chilton, the license plate at the front of her Jeep goes from being attached to the center of the bumper, to the side of the bumper, then back to the center of the bumper. Additionally, the Jeep's rearview mirror has vanished when they're parked at Chilton. (00:03:25)
The Lorelais' First Day at Chilton - S1-E2
Continuity mistake: While Rory is at the administration office Miss James gives her the Chilton map, schedule, etc. Then just as Miss James tells Rory that Mr. Winters, the guidance counselor, handles everything except bulimia and pregnancy, Miss James is wearing eyeglasses in the shot facing Rory, but in the previous and following shots she is not. (00:15:50)
The Lorelais' First Day at Chilton - S1-E2
Continuity mistake: Luke uses a red screwdriver trying to get something out of the toaster and leaves the screwdriver in the toaster while he goes to get coffee. When it cuts back to Lorelai, the screwdriver is on the counter, beside the toaster. (00:18:20)
Kill Me Now - S1-E3
Continuity mistake: Richard and Emily speak of his mother as if she were dead, but she comes to visit several times later in the series.
Continuity mistake: After the opening credits, Lorelai is watching TV in the kitchen. After she picks up the remote control, the camera angle changes and the TV is gone. It then reappears when Lorelai is standing by the stove. (00:02:35)
Continuity mistake: Kirk did not know who Miss Patty was. He said "I wasn't aware that you were THE Miss Patty." Later in the series, in Episode 5 of Season 6, at Miss Patty's Grand Recital, Miss Patty introduces Kirk's performance and says that he was "a talented pupil of mine". His performance was titled, "20 Years Ago Today", therefore Kirk was a student and should have known who Miss Patty was all along.
Continuity mistake: In S1E3 "Kill Me Now" when Babette tells Lorelai that Cinnamon is stuck under the porch again, she refers to Cinnamon as "him", but in this episode Babette talks about Cinnamon being female.
Rory's Birthday Parties - S1-E6
Continuity mistake: Rory's piece of birthday coffee cake changes sizes throughout the whole scene.
Rory's Birthday Parties - S1-E6
Continuity mistake: Lorelai is on the phone with Emily talking about shopping. The apple she is eating changes places with each shot.
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: After Dean kisses Rory the second time, when Rory joins Lorelai in her bedroom the lamp sits atop a simple rectangular box to the left of the bed, but in the following shots there's a round table with a pretty table topper and frames, etc. beside the bed. (00:42:00)
Continuity mistake: Luke is at a table talking to Miss Patty while Lorelai stares out the window at Rory and Lane. Except behind Lorelai you can see Luke at the register alone, even though his voice is still heard talking to Miss Patty.
Suggested correction: That's exactly the point of the scene. Kirk knew that her name was "Miss Patty" but he didn't know she was THE "Miss Patty" about whom everyone was speaking.
They also refer multiple times to Kirk growing up in Stars Hollow. He would have known. In Stars Hollow, there couldn't ever be another "Miss Patty." That's just not how they roll.