Adventure Time had Tree Trunks offended by a statue making "a rude gesture" in "Five More Short Graybles", only to later find that the statue actually just had Shelby the worm standing vertically on its raised fist. For the sake of the children in the audience, they never actually show the gesture, nor do they explicitly mention raising the middle finger.
In the sequel/spin-off Adventure Time: Fionna and Cake, Fionna does the British two-finger variant (probably on account of having four fingers and thus no "middle" finger) with very pointed intent to offend her boss after getting fired.
In "The Worst", Gumball moves to flip off Carmen after she warns him that he'll get cramp if he doesn't hold his pen properly. He gets a hand cramp just before he can raise his finger.
Happens in a few episodes of American Dad! such as "May the Best Stan Win" (by cyborg Stan), digitized on TBS airings despite four-fingered hands.
In "Turkey Jerky", a Thanksgiving-themed cartoon, the Warners are Native Americans who are trying to protect their pet turkey from Miles Standish who wants to shoot it.
Miles Standish: Begone, pests, and give me the bird! Yakko: We'd love to, really, but the Fox censors won't allow it.
The gag also shows up during a parody of The Maltese Falcon in "This Pun For Hire"
Minerva Mink: Never mind that, just give me the bird! Dot: We can't, this is a family show. note Nickelodeon cut the "...this is a family show" part making the joke more subtle.
Ignignokt of the Mooninites in Aqua Teen Hunger Force likes to flip the bird to anyone he doesn't like. His middle finger even extends for use when he's really displeased with someone.
In the "Spacecataz" sub-series, the two Plutonians, Oglethorpe and Emory, get into a fight with the Mooninites...all because the Mooninites flipped off Oglethorpe as the Plutonians' ship whizzed by.
Master Shake and Carl are also VERY fond of giving people the middle finger.
Arcane: Showcasing Vi's belligerent personality, even while Vi and Caitlyn are running away from Silco after Vi punches a support beam loose and causes the entire building to collapse, Vi shoves a random bystander who calls her out and then she flips him off with an unfazed look.
In Beast Machines, Thrust very clearly flips Optimus Primal the bird. (One imagines the animators only got away with it because Thrust only has 3 fingers on each hand.) Optimus is not amused.
He shows the same gesture to some of the other Maximals as well in an earlier episode.
In Dawn of the Peck Linda gives some turkeys she and her family are trying to avoid the finger and she gives her kids and their friends permission to do the same thing, just because it's a holiday and she tells them never to do it again.
Happens again in Bob and Deliver where Bob tries to fraternize with the lunchladies when he is teaching Home-Ech but the head lunchlady spites him by flipping him off repeatedly.
It's worth noting that both of these examples are offscreen.
Dee Dee does this on the title card of the Dexter's Laboratory episode "Rude Removal". Also, in "Decode of Honor", one of the tattoos shown at the parlor Dee Dee goes to is of a hand doing this.
The Downtown episode "Before and After" has Mecca give Fruity the middle finger in response to him telling her not to copy his hand movements.
In the pilot of Drawn Together, an irate Foxy raises her (censored) finger to Princess Clara, who is unable to get the message because "Foxy's hand went all blurry."
In "Brian: Portrait of a Dog" when leaving a dog show, Peter acted like it was All Part of the Show and commended an off-screen Brian for doing this. "Yeah, flip me off. Good boy".
In the episode "That's Lobstertainment!", when Zoidberg points out that Bender said "wink, wink" out loud, Bender replies, "No, I didn't. Raise middle finger."
In the final scene of "Law and Oracle", Bender can be seen flipping off Fry at one point.
In the episode "Benderama", this exchange takes place when Scruffy serves a bowl of soup to Professor Farnsworth:
Farnsworth: Scruffy, what is that tiny Bender doing in my soup?! Scruffy: It appears to be giving you the finger, sir. Enjoy.
Implied in the episode "Overclockwise", where Bender responds to being told that a video game console uses motion capture technology by raising his hand and saying "Oh, yeah? Track this motion." The gesture isn't seen, but anyone watching can tell that Bender was giving the bird.
In "31st Century Fox", Fry knows a random object on the ground is Bender's middle finger because "[he'd] recognize it anywhere".
Implied in "The Golf War". Surly teenage troublemaker Robbie is chased off the local mini-golf course for spraying graffiti, and makes "lewd hand gestures" at an employee from off-screen.
In "Little Gift Shop of Horrors," a witch takes Stan's hands. Similar to the Justice League example below, Stan says he needs them back because he has a gesture to show her.
In Justice League Hawkgirl does this when being held by Icthulhu.
Barkin: Let's go, people, time for student photos! Stoppable, none of your punk hand gestures this time. Ron: What? It was a thumbs-up!
An offscreen example happens in an episode King of the Hill where Nancy makes a bad weather prediction (she predicted that it would be clear skies for a festival but a disasterous wind-storm proved otherwise). An angry woman asks Nancy if she can predict what her finger is going to do to her. Nancy's reaction says it all.
In Rick and Morty, Rick trolls his car-powering microverse into believing that this is the "Universal Symbol of Peace". At the end of the episode, the microverse's head scientist (who now knows what his universe really is) flips off the sky, being the first person of his race to use it in the correct context.
When "E.T.Returns Home", he is teased by bullies for only having a single finger glow while they can do the same with all of them. They don't appreciate it when he responds by flipping that one finger.
Han Solo and Boba Fett both flip each other off in the "Dinner With Vader" sketch.
The third Star Wars special has Palpatine flip off the viewers right before the end credits start rolling. After the credits, the last of several sketches trapping Boba Fett and Weequay in the Sarlacc Pit begins with Weequay reading Boba's fortune. When he asks Boba to pick a number, Boba raises three fingers, then leaves the middle one raised for a little longer than the other two.
In the episode "Hello Gutter, Hello Fadder", the bullies can be seen flipping the camera off in the background during the news report.
In the episode "The Wreck of the Relationship", a movie trailer that Bart and Milhouse are watching online has a brief scene of a lady flipping the bird. This was pixelated in the broadcast version, but the uncensored version was on Simpsons World and was rated TV-MA because of this.
An example in animation can be found as far back as 1937; in "Skeleton Frolics" a piccolo player gives his conductor the double deuce (albeit inadvertently).
Ike also gave the finger after Cartman rejects him when auditioning for the boy band.
Cartman when he doesn't get invited to a party.
Canadians on strike from Vancouver to St. John's, raise their middle fingers for you all to sit upon!
Steven Universe: Whenever Peridot (with her limb enhancers) forms one of her hands into a blaster, her fingers shift and it is mostly done off screen. When it does come back on screen, it resembles a warped hand flipping the bird. This implies that the finger that does the firing is her middle finger. Then there is that moment◊ in "Keeping it Together" where Peridot sends a current through Amethyst's whip...
Raphael may only have three digits (two fingers and a thumb) on each hand but he repeatedly gets away with doing this with his sai in Teenage Mutant Ninja Turtles (2003).
In Titan Maximum, this appears to be Gibbs's favorite gesture. He usually gets pretty creative with it.
Heather coldly betrays Lindsay after the latter has done everything in her power to make Heather win. Finally seeing Heather for who she truly is, Lindsay flips her off and unleashes a Cluster Bleep-Bomb in "That's Off the Chain!"
In the "That's Gonna Leave a Mark!" segment of "Aftermath III: O-wen or Lose", an outtake of "One Million Bucks B.C." shows Chef bumping into a yeti's golf cart with his own. The yeti gets a case of road rage and slams a club into Chef's golf cart before flipping him off.
A challenge in "Rock n' Rule" is to walk the red carpet and interact with the cardboard cutouts of paparazzi, groupies, and bouncers as a rockstar would. With his usual lack of decorum, Duncan disrespects or attacks nearly every cutout. One cardboard of a fan wanting an autograph gets the finger.
Every single member of Heather's peanut gallery team in "Hawaiian Punch" has been given no choice, as not one former contestant is willing to be Heather's supporter yet as a finalist she needs a team. While she is tied up during Cody's and Alejandro's fight, Heather asks her team for some support. What she gets is Leshawna giving her the finger.
Courtney throws the beaver that attacks Scott in "Moon Madness" into the ravine. As it falls out of view and opens a parachute, it flips her off with both paws.
Probably one of the oldest examples in a 1930s Willie Whopper cartoon. During a plane race one of the racers refuses to give St. Peter a ride... and he gives the racer the finger when he leaves!
Technically, there's no middle finger gesture, but in Viva Piñata, when Professor Pester finally gets arrested for his crimes, he pulls the shocker gesture in one of his mugshot pics, which is just as vulgar.
◊. He admits to not knowing what said gesture even means.
