In the episode “To Whom It May Concern,” in reference to Apollo 11.
LORELAI (seeing the giant flat-screen TV Chris had ordered): Oh my God. The eagle has landed.
When Lorelai sees the new flat-screen TV that Chris ordered, she says, “Oh my God. The eagle has landed.”
This is an allusion to the Apollo 11 space mission, the first manned mission to the moon.
Lorelai is implying that the TV is way high-tech.
Read more about Apollo 11