RORY: I’m sorry I snapped at Grandma.
LORELAI: Yeah, huh? That was a pretty Freaky Friday moment we had back there.
Freaky Friday is a 1976 fantasy-comedy Walt Disney film about a mother and teenage daughter who switch bodies after wishing that they could trade places; the mother and daughter are played by Barbara Harris and Jodie Foster respectively. The film is based on the 1972 novel of the same name by Mary Rodgers, who wrote the screenplay for the movie.
In the movie, the daughter Annabel gains a new understanding of her mother’s life which brings them closer together, just as in this episode Rory gets an insight into Lorelai’s life growing up with Emily, and how difficult that must have been at times.
Lorelai would have been eight years old when Freaky Friday came out. Walt Disney did a made-for-television remake of the film in 1995 when Rory was eleven, so the movie could easily have been part of both their childhoods.