In the scene where the bandages are taken off Leela's eyes/head, the "camera view" under the bandages is seen. This is a direct connection to Twilight Zone TOS episode "Eye Of The Beholder", both scenes dealing with characters who have undergone operations to become "normal"
A newspaper with Fry's picture on it and the headline "Primitive Man Found in Cryo-Tube" can briefly be seen in Fry and Bender's apartment.
The sign in alien text that appears when Leela shows her new eyes to her blind classmate reads Humane Human Traps.
Adlai Atkins' house exterior and living room is based on The Cleaver home from Leave It To Beaver.
Per Bender's shoplifting mugshot, he is (with antenna) just over six feet tall.