Futurama season 2 has 19 epsiodes presented here in the order in which they appear on the DVD.
1) I Second That Emotion
Bender gets an empathy chip after he flushes Nibbler down the toilet. The chip causes him to feel whatever Leela is feeling. After a while he can't stand her sadness at the loss of her pet and goes to the sewers to find him. They meet the sewer mutants who are terrified of El Chupanebre. The trespassers are to be sacrificed to the monster, but Leela thinks it's Nibbler.
2) Brannigan Begin Again
Zapp finally does something so stupid that he is stripped of his rank. Unemployed (in a sequence parodying Midnight Cowboy) he convinces Prof. Farnsworth to hire him. Since he's a much less strict captain than Leela, Fry and Bender mutiny to put him in charge of the ship. His actions put them in danger of imminent destruction, and only Leela can save them... if she's not too ticked off.
3) A Head In The Polls
Bender sells his body for cash, literally. The head of Richard Nixon buys the body and attaches himself to it. Using the mobility that gives him he runs for president of the world. Bender wants his body back, though, and implores Fry and Leela to help.
-Claudia Schiffer has a cameo.
4) Xmas Story In the year 3000 Santa is a large, murderous robot. As a result the holiday previously known as Christmas has been officially renamed Xmas and is a day of utter terror for everyone. Fry is targeted by robo Santa, and Leela rushes to help only to become a target herself.
-Conan O'Brien makes a cameo, and John Goodman plays Santa.
5) Why Must I Be A Crustacean In Love
It's mating time on Zoidberg's planet. He goes back to find a woman, but when he does she falls for Fry. Fry has no interest in dating such an alien, but Zoidberg's male jealousy blinds his reasoning. He challenges Fry to a death duel for the honor of "his" woman.
6) The Lesser Of 2 Evils
Fry runs over another bending robot, Flexo, that turns out to be the spitting image of Bender except for having a beard. Fry is jealous of the friendship Bender develops with Flexo, but Farnsworth hires the bot as extra security to guard a particularly valuable cargo. When the cargo is stolen Flexo turns up missing bringing the rest of the crew in hot pursuit.
-Bob Barker has a small role.
7) Put Your Head On My Shoulders
Fry and Amy start dating. When they decide to break up they get into a terrible car accident. The only way to save Fry is to temporarily graft his head onto Amy's shoulders. Problem is, with them no longer a couple they want different dates for Valentine's Day.
8) Raging Bender
Bender picks a fight at a movie theatre and gets recruited for the Ultimate Robot Fighting League. Leela becomes his trainer because she wants revenge on her old Martial Arts master who mistreated her. Bender is torn between throwing the final fight and appeasing his boss or sticking it out for Leela and getting the gears beat out of him.
-Rich Little and Russ Leatherman make cameos.
9) A Biclops Built For 2
Leela meets another Cyclops online. She finds him in real life and learns the tragic history of their race. She's ready to repopulate their race with him, but she learns he is not what he appeared to be.
-There's a great parody of Married With Children in it.
10) A Clone Of My Own
Farnsworth is near the end of his life. He has reached the age where people are taken to the Near Death Star, a sort of Matrix-style rest home. His clone Cubert is named his successor, but Cubert doesn't share his creator's vision. The crew wants Farnsworth back, but no one knows where the Near Death Star is. Cubert is along for the ride whether he wants to be or not and begins to realize that the Prof. may not be full of hot air after all.
11) How Hermes Requisitioned His Groove Back
Hermes is obsessed with being a perfect bureaucrat, so when his review goes badly he loses his reason to live. His reviewer falls for Fry, and so she names herself as Hermes' replacement. She removes Bender's memory and ships it to HQ. Only a bureaucrat can get the memory back so it's up to Hermes to save the day.
-Nora Dunn guest stars.
12) The Deep South
The crew finds the lost city of Atlanta. It's deep in the ocean and inhabited by merpeople. Fry falls for a hot, young mermaid but calls it off when he realizes she doesn't have the anatomy needed for them to copulate. The crew meanwhile is trying to fix the sunken Planet Express ship before it is crushed by the weight of the ocean.
-Singer Donovan sings, and Parker Posey plays Umbriel (obvious parody of Ariel).
13) Bender Gets Made
Bender joins the Mafia only to find out they plan to hit the Planet Express ship. He has to find a way to fool the mobsters into thinking he's on their side while saving his friends without them knowing he's doing it.
14) Mother's Day
All robots (including cars, coffee pots, and TV sets) revolt in an attempt to make Mom ruler of the world. The only thing that can stop them is a remote control Mom keeps hidden in her underwear. The only way to get to it is to get her naked, not an easy, or desirable, task. If Farnsworth can rekindle his romance with her, there may be a chance.
15) The Problem With Popplers
The crew lands on a planet in hopes of finding food. They come across craters full of unidentified, shrimp shaped things that taste incredible. They take some back to Earth and market them as Popplers. Leela realizes they are sentient beings, and though she was the start of them being marketed as food, she becomes the strongest opposition to people eating them. To make matters worse it turns out that Popplers are infant Omicronians, and they want revenge. They want to make an example out of Leela, and only her campaign against eating Popplers has a chance of saving her.
-Phil Hendrie guest stars.
16) Anthology Of Interest 1
A collection of 3 stories. Farnsworth wants to show off his What If Machine. It can take a hypothetical set of circumstances and display what would happen. Bender wonders what would happen if he were 50 feet tall. He would go on a human killing spree. Leela wonders what would happen if she were less inhibited. She would become a serial killer. Fry wonders what would happen if he didn't come to the future. He ends up destroying the universe.
-This is one of my all-time favorite episodes.
-Lots of cameos including Al Gore, Nichelle Nichols, Stephen Hawking, and Gary Gygax.
17) War Is The H Word
Earth is at war with a race of balls. Zapp is leading the troops into war so of course they're ineffectual. Bender is secretly set to explode and sent on a negotiation meeting with the enemy. All he has to do is say a particular word and BOOM!!
-This one seems to have a lot of Starship Troopers references.
18) The Honking
Bender's uncle Vladimir shuts down leaving his castle to Bender if he will only spend a night in it. They soon realize that the place is haunted by robot ghosts (which sounds stupid since robots don't have spirits, but there's actually a pretty good explanation). Bender is struck by a werecar (like a werewolf except robots turn into cars and try to run over people). They must find and destroy the original werecar if Bender is to go back to normal before he kills one of his friends.
-This one has numerous horror movie parodies including Dracula, The Howling, Christine, and others.
19) The Cryonic Woman
The entire crew gets fired by Farnsworth and has to go back to their original jobs. Leela mixes up the career chips, and Fry actually gets her cryogenics job while she becomes a delivery "boy." Fry discovers his girlfriend has been frozen. Once she is thawed they rekindle their relationship, but all is not happy between them. She cannot stand the creatures Fry associates himself with so she persuades him to freeze himself with her for another 1000 years. They awaken in a desolate wasteland and re-discover they can't stand each other.
-Pauly Shore has a cameo.