Futurama

The complex casino heist scheme developed by Amy is reminiscent of 1960's film Ocean's Eleven and its contemporary remake/sequels.

Hermes rehires himself and is then hugged by Zoidberg, which causes him to drop his "rehired" stamp. You can see that the word "rehired" on the stamp is not mirrored, which it would have to be in order to print the word correctly.

When the camera pans to Professor you can hear Bender say bitch,in fact Bender actually said "Son of a bitch!" because he ended up back in the same room when he left the other way.

In this episode we learn for the first time that Mom's first name is "Carol", and that Zoidberg is the only character she has never yelled at or criticized, but actually admires.

The 4th Doctor (played by Tom Baker) is one of the people Leela (which is the name of one of the 4th Doctor's companions) releases from the whale.

Zoidberg time-travels by drinking the "head-juice", however in A Leela of Her Own, Hank Aaron the 24th drank some head-juice and nothing happened.

The opening cartoon is from 1936 - "The Goose That Laid the Golden Egg". It's the first of three Rainbow Parade cartoons featuring Felix the Cat.

When Fry climbs out of a window of the Land Titanic, a can of Angry Norwegian Anchovies can be seen on the floor. This is reference to the sixth episode of the first season, in which Fry ate the supposedly very last can of anchovies.

When Fry, Leela and Lrrr visit Orson Welles in the Head Museum, you can see the following heads in jars on the top shelf (L to R): Raquel Welch, Lawrence Welk, Frank Welker (legendary voice actor, also voice of Nibbler), Paul Weller; and on the bottom shelf (L to R): Peter Weller, Orson Welles, Dawn Wells and H.G. Wells.

When Zoidberg (in Fry's body) brings the Emperor (in wash bucket's body) to Fry and Bender's apartment, the front door leads directly into the "closet" of the apartment and not through the small room Bender refers to as the "apartment".

When Bender is standing in front of the jury and the camera switches to long shot, Bender is twice on screen, sitting between Fry and Leela at the same time.

Back in season 2 episode "A Clone Of My Own" The Professor stated that he had worked on a time machine for 15 years but was unsuccessful.

Near the end of the episode, as the trio travels into the year 3010, we see moments from several old episodes:
"Space Pilot 3000" - the destruction of New York City and the medieval reconstruction from when Fry was frozen.
"Love's Labours Lost in Space" - the Professor showing a hologram of Vergon 6.
"Amazon Women in the Mood" - Amy, Leela, Zapp and Kif discussing their upcoming double date.
"Future Stock" - Fry and That Guy waking the crew for a meeting.
"A Taste of Freedom" - Fry and Zoidberg dancing the Freedom dance.
"The Beast with a Billion Backs" - the Professor having been infested by Yivo, scaring Leela, Amy, Hermes and Wernstrom (who is coloured differently from the previous universe).
"Attack of the Killer App" - Fry, Hermes, Bender, Zoidberg and Amy playing with their eyePhones, and Leela crashing the ship.

The concept of time being cyclical was previously mentioned in "The Cryonic Woman" by the man who wanted to meet Shakespeare. Interestingly, in that episode Fry stated with confidence that it wasn't, but here it's proven that it is.

This episode reveals that Leela's birthday is on the 29th July, according to the time machine's display when Fry, Bender, and the Professor enter the machine for the first time.

The song played at the end of the episode is an altered version of "You are my Little Bird", a children's song written by Elizabeth Mitchell.

In a previous episode entitled "How Hermes Requisitioned His Groove Back", it was established that bureaucrats must stamp forms 5 times.

However in this episode the bureaucrat at the entrance only stamped his forms 3 times, and he made this mistake 3 times!

The alien message Leela throws away reads: "Need extra cash? melt down your old; unwanted humans; we pay top dollar!"

When the Professor and Fry were propelled off into space, it explicitly states on screen 1 month passes before they arrive at Planet Vinci. It was never explained how they survived that long without food or water, as they weren't in suspended animation one presumes they must've needed to eat.

Oddly enough this episode contradicts a previous episode: I Dated a Robot, where they frown on Fry dating a robot, but everyone seems fine with Bender dating a human.