The adventures of a late-20th-century New York City pizza delivery boy, Philip J. Fry, who, after being unwittingly cryogenically frozen for one thousand years, finds employment at Planet Express, an interplanetary delivery company in the retro-futuristic 31st century.
This tv show contains 113 potentially triggering events.
Not really gaslighting, as it's not deliberate, but there are some characters who go insane because people don't believe their reality. "The Sting" and "Insane in the Mainframe" both involve this sort of plot.
Flashbacks to Fry's childhood show his father being emotionally abusive. Mom also acts very abusively towards her adult sons, including insulting and slapping them regularly, and in flashbacks used them as human shields when they were infants. Amy's parents are emotionally abusive and are shown mocking her weight even when she reverts to a child.
Drug jokes are common. There's a scene with a crack addict trying desperately to get drugs from a vending machine. Electricity is also shown to be addictive to robots.
Many animals die during the series. In one of the episodes with the professor's «what if machine» Dr.Zoidberg eats a guniea pig, also in another episode, a giant Bender falls on some ducks in a pond and kills them.
Zapp Brannigan sexually harasses Leela on several occasions. The boys are forced to have sex with alien women in "Amazon Women in the Mood", though only Kif doesn't want to do it and he escapes. "Beast With a Billion Backs" treats Yivo's possession as a rape allegory and shkli claims shkli possessed them because "their universe dresses provocatively." Leela and Zapp are forced to have sex at the end of "In A Gadda De Leela."
In the episode "Amazon Women in the Mood" giant Amazonians sentence the male members of the crew to death "by snu-snu." Kif is rightfully horrified, but is mocked by the other men for being afraid of being shagged to death. The entire premise is treated as a joke, and most of the male characters enjoy the prospect of fatal snu-snu.
Fry sometimes gets throttled and chokes in a cartoonish fashion (similar to Bart in The Simpsons since it's the same creator). Can't remember specific episodes right now.
Many of the sewer mutants have a darkly comedic body horror to their designs. Some have tentacles, extra body parts, missing body parts, or body parts in the wrong place. They aren't scary, however, they're just trying to live their lives.
There's an episode where Nibbler's tooth is broken and then pulled out. In Fry and the Slurm Factory Fry finds a tooth that he finds a tooth that fell out in a Slurm can
A character falls off a building and dies in "Meanwhile." We see the blood splatter from the impact, and we see this event loop several times. (Edited for spoilers)
"Beast with a Billion Backs" has most humans get possessed by a tentacle monster. "Ghost in the Machines" has Bender's ghost possess a lot of machinery and at the end possesses a living robot.
S1
Ep 7 (my three suns) 6:37 Zoidberg v* off screen after eating Bender's dish
S2
Ep 14 (How Hermes Requisitioned His Groove Back) 4:02 Bender v* the poker cards
Ep 17 (Bender gets made) 7:46 Nibbler v* an animal and 14:48 to 14:57 Bender v*
S3
Ep 5 (Amazon Women in the Mood) 0:39 Nibbler v* a furball
Ep 6 (Bendless Love) 19:34 Flexo v* after being crushed by an iron bar
ep 7 (The Day the Earth Stood Stupid) 2:26 Nibbler v* a sheep's collar
Ep 9 (the birdbot of ice-catraz) 14:25 and 14:30 Bender v* to feed the penguins. And 18:11 Bender v* a 2nd time to feed the penguins
Ep 12 (Insane in the Mainframe) 11:02 the dispenser appears to v* treats
Ep 13 (Bendin' in the Wind) 14:05 and 14:26 Zoidberg v* pearls
S4
Ep 3 (Anthology of Interest 2) 2:41 to 2:48 Bender transforms into a human, spits several times and v* and 11:12 to 11:15 Zoidberg v* video game elements and 16:31 Nibbler v* a lollipop
Ep 11 (The 30% Iron Chef) 1:35 Bender v* a hen's skeleton
S5
Ep 1 (crimes of the hot) 16:26 to 16:29 a drunk robot v*
Ep 11 (three hundred big boys) 13:08 to 13:50 the whale v* after swallowing Kiff's watch
Ep 15 (Bender should not be allowed on TV) 12:51 Hermes' son v* after smoking and 16:04 a child v* after smoking
S6
Ep 3 (attack of the killer be)
-10:33 to 11:06
-12:33 to 13:12
-14:40 (only visual)
-16:43 (only visual)
-16:59 (only visual)
-20:11 (only visual)
The premise of the episode is a bet in Fry and Bender and the loser must dive into a pool filled with goat v*
Ep 10 (The Prisoner of Benda) 14:19 Bender v* diamonds
Ep 12 (The Mutants Are Revolting) 13:10 Leela v* off-screen after seeing Fry's mutation and 13:18 the rest of the crew v* seeing Fry's mutation
Ep 14 (Benderama) 14:06 Amy v* because she is drunk
Ep 20 (All the Presidents' Heads) 4:34 the president v* during the party
Ep 22 (Fry Am The Egg Man) 8:52 and 10:53 the monster v* green liquid twice
Ep 26 (reincarantion) 3:18 the ship v* the crew
S7
Ep 11 (viva mars vegas) 8:08 Zoidberg v* a drink and the skeleton of a sardine and 17:33 Zoidberg v* money and 18:36 to 18:57 Zoidberg v* money again and 19:42 Zoidberg v* money again
Ep 16 (T.: The Terrestrial) 14:59 the foosball player v*
Ep 26 (Meanwhile) 2:03 Bender v* during attraction
Heavily implied (but not shown) in the episode The Tip of the Zoidberg, where Dr. Zoidberg's medical meddling is implied to have rendered Bender incontinent somehow.
Bend her - bender gets a "sex change" explicitly to dominate the Olympics as a woman, then continues to exploit people posing as a trans woman. The episode is deeply transphobic
"Bender's Game" gives Leela a shock collar to curb her anger. There's also a bit in "Insane in the Mainframe" in the mental institution, when Fry gets shocked to "calm his nerves" cuz they think he's a robot.
Suicide booths are a running gag. Bender tries to commit suicide in the pilot episode and threatens it a few other times like in "Lethal Inspection" and "Ghost in the Machines." "The Sting" also has Leela contemplate "going to sleep forever" in a manner that's reminiscent of suicidal feelings. Fry jumps off a building in "Meanwhile" after thinking Leela stood him up, this scene is repeated many times.
There's one offhand joke in S6 E15 Mobius Dick where Amy has a "Serengeti flashback" due to her history of Harpooning Giraffes. It's very likely not to trigger anyone due to the absurdity and unrealistic-ness of the portrayal, but it's still something worth noting.
Fry is heavily implied (via the "delta brain wave" plot point) to have a mental disorder and many characters make fun of him for being stupid. There's also some metaphorical ableism, i.e. Leela being bullied for having one eye and getting surgery to be "normal." There's also a robot character (Tinny Tim) who is always on crutches and is frequently mistreated if that counts.
Zoidberg and his race are heavily Jewish coded, and there's a joke in "The Deep South" where Fry says he can't hang out with Zoidberg because Fry's "trying to get into the country club."
In Fry and the Slurm Factory, Bender uses an x-ray on a female robot walking by and then gasps exclaiming "that's no lady!" she then walks over and says that after one more upgrade and she'll be more woman than he can handle
Amy's dad makes fun of her for being fat. There's some scattered fat jokes across the series, like a minor character who is literally called Fatbot (though more jokes are made about him being a dumb teen).
Season 2, Episode 4: Fry and Bender take Farnsworth's F-ray device to find the winning bottlecap for the Slurm contest. Bender does shine the F-ray on a fembot only to discover said fembot is trans, causing Bender to react with disgust.
Fry is biologically the same age as Leela, but he was cryogenically frozen for 1000 years before he met her, so take information how you will, and come to your own conclusions about their relationship.
There is an entire episode where Bender becomes God to a civilization of tiny people. Robots also have a religion that appears in several episodes, as well as the Robot Devil who takes sinners to Robot Hell.
Neutopia had a pretty central conflict revolve around sexually objectifying the women in the workplace to raise money.
There's a scene in Forty Percent Leadbelly where Leela purposefully poses provocatively in front of prisoners in order to get hooted at.
"The Honking" is about a werecar that tries to run people over. It's not graphic at all, just surreal. There's also a bit in "The Duh-vinci Code" where Fry gets hit by a bus and sent to the hospital.