In the spaceship graveyard: Apollo command and service module; Apollo lunar module; Electric Light Orchestra's flying saucer; Skylab; guitar-shaped spaceship from the album covers of the band Boston; and movie references mentioned in "Connections" section.
When the Planet Express ship loses its engines and Leela orders the crew to set its sails, this is not fantastical but real science. Spacecraft can be propelled through space using giant sail mirrors which catch radiation pressure from light photons emitted by the Sun.
Among the old crew members who exit the space whale at the end of the episode is Doctor Who, as portrayed by Tom Baker in Doctor Who (1963).
When Amy's mother Inez thinks Amy is dead, she says, "...my days of joy and luck are over, guess I gotta quit that club", this is an allusion to The Joy Luck Club (1993), which starred Lauren Tom (voice of Amy and Inez).
Leela's line "we're going for a sleigh ride"; is a reference to a Nantucket sleigh ride. This is a term from the days of the east coast whaling industry; where a Nantucket sleigh ride was when one of the whaling boats got pulled across the ocean by a harpooned whale.