Paris refers to Anna as Eve Carrington.
When Lorelai is hiding the boat, she says that she'll climb a wall and get her grapefruit autographed.
Rory mentions Sabrina, because a character is called "Fairchild", like Audrey Hepburn's character in this film.
Lorelai says that Luke is hotter than Willy Wonka and jokes that he should wear a purple top hat.
Richard and Rory touching the side of their noses is a reference to the Paul Newman/Robert Redford movie, where the con-man duo and their team use it to acknowledge when their part of the scheme is completed.
Lorelai makes reference to Mel kissing Flo's grits.
Rory mentions Spike and Drusilla from season 2
Lorelai makes reference to Carrie Bradshaw while talking to Miss Patty about shoes.
Lorelai refers to Anna as Mini-Me.
A poster for the film hangs in Paris and Rory's dorm room.