Piccolo producing his son in Dragon Ball, just seconds before dying, to have him get his revenge on Goku.
And then subverted in the Dragon Ball Z saga, where Piccolo Jr and Goku team up in the first few episodes, and becomes an invaluable part of his team for the rest of the show.
Perhaps he got revenge out of his system after killing Goku for a year and abducting his son for said duration.
Piccolo has an inner monologue explaining this. After killing Goku, he didn't feel any satisfaction due to the circumstances. Piccolo also realized that he didn't really know what to do with his life afterwards. Raising Gohan for a year changed him for the better.
Also, one of Babidi's motivations for reviving Majin Buu is avenging his father's death at the hands of the Supreme Kai, while at the same time finishing his father's work.
Cooler sought out to kill Goku, whom he blamed for Frieza's death. However, the only reason he cares is that he believes that Frieza's being killed by a lowly Saiyan has brought disgrace upon their clan's name, and makes it clear from the start that he never gave a rat's ass about Frieza either way. In fact, it's implied that if Goku hadn't done so, Cooler most likely would have killed Frieza himself.
In Bleach this happens when Zommari comes to avenge Aaroniero's death by Rukia.
In Mokuba's first appearance in Yu-Gi-Oh!, he had his classmates kidnap Yugi so he could challenge him to a duel, cheat, win, and avenge his brother's loss in Duel Monsters. This was also the premise of Yu-Gi-Oh! R, where Pegasus' adopted son/protégé sought revenge against Yugi.
Avenging Pegasus's defeat was Duke Devlin's original motivation for challenging Yugi to a high-stakes game of Dungeon Dice Monsters in the anime. In the manga, he's avenging the defeat of his Monster Clown father at the hands of Yugi's grandfather.
In Samurai Champloo, Jin killed his master Mariya Enshirou in self-defense. Try telling that to Mariya's other students, who are hunting for Jin throughout the series to avenge him. Particularly notable is Not-So-Harmless Villain Ogura Bunta, who managed to hold his own against Jin when he finally encountered him. The shame of his defeat, however, caused Bunta to be Driven to Suicide, according to Jin's Unknown Rival Yukimaru. For his part, Yukimaru doesn't care about their master, and just wants to kill Jin to absorb the reputation of the thousand man killer.
Two of the Big Bads of Slayers were avenging the deaths of their masters. In the first season, Eris went after those who killed Rezo, only to get killed by a clone of Rezo she created for her trouble. The third season TRY had Valgaav, a follower of Gaav who died in the previous season. He was bent on releasing Dark Star into Lina's world in hopes it would destroy those who he believed killed Gaav, namely the remaining Mazoku and Lina Inverse and company. And that's not mention the how's he's the only survivor of the Ancient Dragon clan, slaughtered by the Golden Dragon clan.
Brocken Jr., of Kinnikuman infamy, originally sought revenge against Ramenman for the death of his father, Brockenman. This is despite the fact that both Junior and Ramenman were "faces" and Brockenman a "heel." Brocken Jr.'s Image Song even has him acknowledge his father was a cheap fighter who got what he deserved, but he intends vengeance all the same. He changes his mind after Ramenman defeats him.
Funnily enough, when Ramenman fought Brockenman he himsef was a monstrously brutal "heel". Not only did he needlessly kil Brockenman, he made him into noodles and ate him, too. You can't blame a guy for wanting to beat the piss out of the man who murdered and ate his father for laughs.
In the anime at least. In the manga, Ramenman ripped Brockenman's body in half!
Princess Senjyu in Basara tries to murder Tatara to avenge her husband but fails. Tatara's friends advised him to kill her with her unborn child so she can't raise it to avenge his father. She gets spared and only held captive. When Tatara delivers the baby and her husband's men fight alongside the rebels she ceases her hatred and names her child not Shido but Motomichi.
There is a challenge sent to Shippo by someone wanting to avenge Hiten and Manten, the Thunder Brothers. Although Shippo is petrified by the thought of fighting a lightning user, the duel does take place. This someone turns out to be a little female demon (the brothers little sister). After her battle with Shippo subsides, she falls for him. Awww...
Discussed and defied in episode 100; Inuyasha and his group come across Garamaru, the brother of Gatenmaru, the blood-sucking moth demon bandit whom Inuyasha killed way back in episode 52. When Inuyasha asks if Garamaru is coming after them to avenge Gatenmaru's death, he simply laughs it off, stating that he never really liked Gatenmaru anyway.
During the DVD-bonus episodes of Baccano!, Graham Spector arrives in New York to avenge Ladd Russo's defeat from the 1931 story arc.
In Naruto, Kabuto swears to do this to Sasuke for "killing" Orochimaru.
Though now it would be arguably difficult with both him and Sasuke being on the same side now. (Sort of)
Said target revenge is want to destroy Konoha blaming them for the deaths of his family, who were killed for planning a coup against the village.
Lucia has an offhand comment early in his role in Rave Master that makes it seem like part of his motivation is to avenge his father. Really, though, it's more that he's just lashing back at the world.
In Nurarihyon No Mago, the Hundred Tales Clan remnants seek vengeance for their leaders death by the Second.
Rurouni Kenshin: If you want to consider Tomoe a villain, her brother Enishi fits the trope. Also, two of the other people Kenshin killed at the same night Tomoe died were the reason two of Enishi's allies were out for him. The previous group's leader had an apprentice who wanted to defeat Kenshin. Not for revenge as Sanosuke assumed but because killing the one who killed his master was the only way to prove himself stronger than that master. The second one, a Sissy Villain, played the trope straight. A friend of his, whith whom he liked to compare who killed more people, was killed by Kenshin.
Digimon: After Etemon suffered his final defeat (he'd later return as Metal Etemon but people didn't know it back then), two of his followers briefly discussed this trope but agreed they didn't like him to the point of trying to avenge him.
Psycho for Hire Medium the Fingernail of Mardock Scramble becomes obsessed with killing Rune Balot for having killed his comrades in the first film, unaware that his current partner Boiled is the one who set them up to die in the first place.
Since Kraven the Hunter died in the Spider-Man comics, several previously unknown sons (both legitimate and illegitimate), and more recently a daughter, have shown up seeking revenge. This is especially ironic as Kraven, having nothing else to live for after he defeated his ultimate foe, killed himself! Spider-Man really was innocent.
This happens to Spider-Man fairly often. Harry Osborn became the Green Goblin to avenge his father's death at Spider-Man's hands. In the Alternate Future in Spider-Girl, his son does the same, but Spidey's daughter manages to talk him down and break the Cycle of Revenge.
Baron Helmut Zemo tried to avenge his father Baron Heinrich Zemo's death by trying to kill Captain America.
Nash from James Robinson's Starman vowed she would destroy everything Jack Knight held dear and him after Jack killed Nash's brother Kyle (who in turn had killed Jack's brother David). Nash believed that because she let Jack go, she was an "accomplice" in her brother's murder (while ignoring the fact she did the exact same thing for David Knight's murder). Nash then became the second Mist and went completely Ax-Crazy, becoming her father's equal in villainy. But she topped it when she raped Jack, got pregnant with his child and literally told Jack she was going to raise their child to despise Jack utterly.
Elizabeth Hawkesmoore in Nikolai Dante joined the Russian army for the chance to kill Dante after he killed her father, Sir Richard Hawkesmoore.
The Urbe twins in the comic story Indiana Jones and the Arms of Gold, even though the father they're avenging never had his own story.
In The Punisher: Circle of Blood, Frank's pursued by the son of a mobster he killed; who unlike his father committed no crimes and had no illegal ambitions beyond avenging his dad (not to mention that he was pretty much browbeated to take that path). He manages to talk him down at the very end of the arc.
The bad guys in The Lion King II: Simba's Pride are a faction of lions who pledged allegiance to the now-dead Scar and were banished by Simba. Scar's former mate Zira is trying to raise her son Kovu up to kill Simba for killing Scar and become the new king. Never mind that the hyenas were the ones to kill Scar.
Similarly, in the first film, one of Hans' own henchmen, Karl, spends most of the film trying to kill McClane after the latter kills another of Hans' henchmen, Karl's brother Tony.
In a similar vein to the Die Hard films, Jet Li's character, Wah Sing Ku, at the end of Lethal Weapon 4 is attempting to flee Riggs and Murtaugh with his brother, all the other villains having been killed. When Murtaugh shoots Ku's brother while aiming for Ku himself, Ku sticks around and tries to kill Riggs and Murtaugh in revenge. Riggs then shoots Ku underwater after they fall off a pier while fighting.
In The Godfather Part II and the novel The Godfather, averting this trope is the reason the Sicilian mobster Don Ciccio gives to the wife of Antonio Andolini, whom he has had killed for not paying tribute to him, for ordering the death both of her older, healthy son Paolo, who has played this trope straight, and also of her young, sickly son Vito. It doesn't work. In the movie, Signora Andolini is killed in front of her son Vito for trying to defend his life, but Vito manages to escape. Decades later, Vito Andolini returns to Sicily as Vito Corleone and kills the now senile Don Ciccio in exactly the sort of scenario he was trying to avoid.
The Wizard of Oz: This is another way of looking at the Wicked Witch of the West. If somebody smashed your sister with a house, wouldn't you want to kill them and their little dog too? See Wicked. Of course, Dorothy didn't make the house move; she was just inside it.
In Stardust, Lamia averts this trope. When Tristan kills both of her sisters to rescue Yvaine she is beside herself with grief at having lost the only family she had, making eating Yvaine's heart to become immortal unbearable, so she lets them both go. Of course, it's all an act, she never cared for her sisters and proceeds to explode every mirror in their faces just for fun.
In The Karate Kid Part III Terry Silver actually mostly abandons his job for the time being and goes to absurd lengths to ruin Daniel and Miyagi for what they did to his war buddy John Kreese. Note that 'what they did' consisted of winning a karate tournament against one of his students. Sure, Kreese blames them for the decline in his business, but that seems far-fetched.
The plot of The Dark Knight Rises is because Bruce "let Ducard/Ra's die" in Batman Begins. Bane and Talia, who used to have a rather strained relationship with her father prior to that, then seeks to accomplish her father's visions.
The villain of Master of the Flying Guillotine is seeking revenge on the hero for killing his two pupils from the previous movie, One Armed Boxer. Eventually, he extends this wrath to every one-armed man in China, which there seems to be an abundance of for some reason.
Django Unchained. After Schultz kills Candie and gets himself also killed in the process, Stephen and Candie's sister get to work devising a suitable scheme to punish Django for his death.
Subverted in Sexy Beast. Gal spends the second half of the chronological story terrified of his gang boss Teddy due to what Gal did to their fellow accomplice Don. Right when it looks like Teddy is going to take Gal out, Teddy admits that he didn't give a shit about Don, and since the job was successful anyway, Teddy lets Gal off with a slap on the wrist.
In the third Riddick movie, mercenary Boss Johns wants to avenge the death of his son in Pitch Black at Riddick's hands rather than collect Riddick's bounty. After Riddick saves his life and tells him how much of a scumbag his son was, Boss Johns rescues Riddick from the monsters in turn and honours their earlier arrangement.
In Scanner Cop II, Carl Volkin was committing home invasions and rapes together with his equally psychotic brother until police officer Sam Staziak stopped them both and killed the younger Volkin. After getting out of prison Carl vows to get revenge on Staziak.
The villain of the Flashman novel Royal Flash is an expy of Rupert of Henzau. One of the novellas in Flashman and the Tiger which is set decades later has that character's son who has an identical appearance and personality and uses an Older Hero vs. Younger Villain scenario.
Rupert of Hentzau ends with Rupert's servant Bauer shooting Rudolf to avenge his master.
In the story of "Aladdin", the villainous African magician had a younger brother attempting to avenge his brother's death.
In the James Bond novel For Special Services by John Gardner, Nena Bismaquer is revealed to be Ernst Stavro Blofeld's daughter, who's out to take revenge on her father's nemesis.
A purely villainous example occurs in Mariel of Redwall. Saltar the searat swears revenge on his leader Gabool because Gabool killed his brother. "There was never any love lost between me and Bludrigg, but he was my brother, and blood must be repaid with blood."
This is fairly common — the villains of Marlfox scale things up in response to one of their number being killed, Slitfang of Triss challenges Kurda in no small part from the perception she was partly responsible for Plugg Firetail's death, Antigra and Gruven, and possibly Ripfang and Doomeye would be the more obvious examples. While the Marlfoxes have no particular issue with killing their own, the other sets did actually seem to have at least loyalty when not outright love.
The sole motivation of evil vampire Victoria during the second and third books of the Twilight series is to avenge the death of her boyfriend, James. Victoria believes that since Edward killed the person she most cared about (James), she should get even with Edward by killing the person he most cares about (Bella). Ironically, it wasn't actually Edward who killed James in either the book or the film adaptation. It was some of the other members of the Cullen coven.
Warrior Cats gives a couple examples in Darkstripe and Hawkfrost, whose motivation for attempting to kill Firestar is mainly vengeance for Tigerstar's death.
In Death: Liam Calhoun and his mother Mary Patricia Calhoun from Vengeance In Death were willing to stop at nothing to avenge John Calhoun's death. What is rather creepy is how John Calhoun raped and torture murdered an innocent young girl and these two wanted to avenge him. Ugh!
The GoosebumpsHow To Kill A Monster ends with the heroes captured by the monster, even after their attempts at killing it by making it fall through the stairs and poisoning it. Said monster is allergic to humans, and keels over dead after merely licking one. Unfortunately, the monster's friends are pissed off after this. Cue the horror, as the book ends with the heroes alone, far away from town, and in a marsh filled with these hungry, soon to awaken creatures. Hopefully the other monsters are allergic to humans too.
The main antagonist of Twenty Years After, the lesser-known sequel to The Three Musketeers, is Mordaunt, the vengeful son of Milady de Winter.
In Summer Knight, Harry Dresden kills Aurora, who had gone crazy and was trying to destroy the world. Seven books later he summons her mother, who acknowledges that it needed doing but still can't forgive him and barely restrains herself from killing him.
Angel: Connor sets out to avenge Holtz when Holtz kills himself in such a way as to implicate Angel.
Highlander: In the episode Double Jeopardy, Morgan D'Estaing goes after Duncan for killing his teacher, recurring villian Xavier St. Cloud.
NCIS: At the end of Season 7, Gibbs' back-story comes back to haunt him: A Mexican druglord had killed his wife and daughter many years ago, whom Gibbs avenged by killing him with a sniper rifle. Now the boss's daughter, who has taken over the cartel, abducts Gibbs in order to exact her vengeance. She is aided by her brother, the Mexican government official fighting the drug war.
Oz: Has quite many of these. Prison makes bad guys care for each other.
Thrax, of the 15th anniversary, wants to destroy the current Rangers because it was a group of Rangers who purified his parents (Rita Repulsa and Lord Zedd) back in season six, "killing" the people that they were as villains (since there's little to no resemblance now, physically or mentally).
Revolution: The episode "No Quarter" has Private Richards hell-bent on getting revenge for his dead best friend, Templeton. Templeton is the soldier that Danny Matheson is blamed for killing back in the pilot episode. Despite getting a beating from the private, Danny repays the guy by strangling him with his chains, threatening to kill him if he ever lays hands on him again, and then lets him go.
Tomica Hero Rescue Force: Averted Trope, because when the Big Bad Daen did a Heel-Face Turn, and thought that Redemption Equals Death, his 'daughter' Maen (really a sentient computer program who resembles him) awakes. But in reality his daughter was a millions years old super advanced Nanocomputer capable of shapeshifting. It was actually the one who turned Daen evil in the first place, wanting to use him to eradicate humanity, because it calculated that humanity would be a threat to earth.
In The Megas' songs, several of the Robot Masters are out to avenge their fallen comrades.
Norse Mythology features the case of Skaði, daughter of the giant Þjassi (who got killed after kidnapping the goddess responsible for maintaining the gods' immortality and being a dick about what they'd have to do to get her back). The gods actually manage to pay her off (as noted under Real Life, this is all perfectly in line with moral Norse behaviour) with a marriage, and she ends up becoming the goddess of hunting, winter and skiing (with an association with mountains as an environment). She's actually loyal to the gods after that, despite the marriage falling apart (she shacks up with Odin instead), which pays off when it means she gets the opportunity to torture the god that actually killed her father after said god (Loki) does a Face-Heel Turn.
Many Role Playing Games have rules that if your character has an enemy at character generation, there is a cost to lose the flaw and simply killing your enemy without paying the cost will result in someone taking his place in this manner.
In GURPS Cabal, the Cabal in question has a tradition of vengeance. Every member has two other members that he is assigned to avenge should they die, and every member has two other members who will avenge him upon his death. So if anyone kills one Cabalist, he will have two others avenging that one. Killing those two will being four avengers, etc. (And since the Cabal is formed of mystics, sorcerers, monsters, etc., this can get scary real quick.)
The Cyclops in Castle Crashers attempts to avenge the groom of the kidnapped princess, until the player just frags him too. Twice.
Franziska Von Karma in Phoenix Wright: Ace Attorney: Justice for All, the daughter of Manfred Von Karma, who in the previous game Phoenix defeated and sent to jail. She first appears making it clear that she has it out for Phoenix, while he tries to convince her that it's not such a big deal. It turns out to be a subversion; she wasn't trying to avenge her father... she was trying to surpass her big-brother figure and childhood rival, Miles Edgeworth.
Ultima II and III are built around this. In The Revenge of the Enchantress, the current Big Bad is a disciple and lover of the Big Bad from the first game. In Exodus, the titular Big Bad is a child of bothBig Bads from the previous two games.
Piastol from Skies of Arcadia; she thinks Vyse killed her father and sister and tries to kill him in return. The party luckily manages to explain the real events to her, but since her arc was added to the remake, she never joins you to go defeat the real killer, who is the final boss.
In the old Super NES game Evo, when you kill the male and female Yetis, this leaves their child (Junior) an orphan. Their child becomes a major opponent in the next level of the game, since he understandably wants revenge for your murdering his family (even though you had no choice).
Subverted (or at least played with) in Super Robot Wars 3 and Original Generation when Lune Zoldark, daughter of the Divine Crusaders' leader (who you killed in the previous game/arc), attacks your group to avenge her father's death. The twist comes in that she knows exactly what the situation regarding her father was about, and after losing promptly drops the grudge and joins your side, having fulfilled her familial duty in engaging you.
In Mega Man X5, one boss is Squid Adler (a.k.a. Volt Kraken), who quit the Maverick Hunters partly because he was depressed at the death of Launch Octopus.note If you don't remember that, it's because X5's translation was sloppy, apparently missing the reference to a past character; "Octopardo", a transliteration of his Japanese name, was used. When he himself goes Maverick, he swears vengeance for his friend.
Similarly, in Mega Man X3, Gravity Beetle joins Doppler's army to avenge the death of his brother, Boomer Kuwanger.
In Mega Man Xtreme, when X defeats the Shadow Hunter Zain, his partner Geemel vows revenge.
One of the eight Bosses in Mega Man Zero 4 is Tech Kraken. (For some reason, this seems to be a common theme with Krakens...) He's a pupil of the late Phantom of the Four Guardians, joining Dr. Weil's army to fight Zero for this reason. Interesting to note that neither Phantom nor Kraken are actual villains. And once Zero defeats him for the second time, Kraken no longer holds a grudge, and even encourages Zero to go on and defeat Dr. Weil!
Kuwagust Anchus in Zero 2 mentions his brother, Herculius Anchortus/Anchus, a boss from the first game, during his own boss fight. When the obligatory end-game Boss Rush comes along, Kuwagust is resurrected alongside Herculious for a Dual Boss.
However, this was subverted in Cybeast Gregar with the character of Ann Zap, the wife of Count Zap, who Lan defeated way back in the first game. She doesn't know who Lan is when she meets him, but when she figures it out, she actually thanks Lan for sending him to jail to pay for his crimes and get his life back together. Also, in Team Proto Man, Mr. Gauss' daughter Tesla is eager to get back at Lan for defeating her father, but not because she particularly likes him — she's just mad about the stress she's suffered, what with him being in jail and her having to take over as CEO of his company. She quickly forgets about it and even joins the protagonists.
Subverted in Robopon 2, Dr. Zeke is the previously unseen brother of the Big Bad, Dr. Zero, from the first game. But rather than vowing to avenge his death, he goes back in time to save Zero so they can both destroy the hero.
Parodied and Deconstructed in No More Heroes: Desperate Struggle, the villains that are being avenged were either nameless NPCs or so incredibly incidental they got killed in the trailer for the first game.
In the World of Warcraft expansion Cataclysm, Vanessa Vancleef replaces her father Edwin Vancleef as the leader of the Defias Brotherhood, as well as the final boss of the Dead Mines. Revenge for her father's death is one of her primary goals.
And while Deathwing didn't need much of an excuse to ravage the world, the fact that his daughter's head hung from the gates of Stormwind did draw that city his special attention.
In Mitsumete Knight, this is how you'll get to fight one of the Eight Generals of Valpha-Valaharian, Rinanore of the Ice and Fire : she's in love with fellow general Borankio the Unshakable, and if you manage to kill him during the second war battle, one month later, she'll defect from Valpha-Valaharian just to challenge you in a duel to death and try to avenge his death.
In Dragon Age: Origins, you kill Arl Howe, a murderer, torturer and anti-elf racist who at least two of your origin stories have personal reasons to hate. In the expansion Awakening, his son Nathaniel sneaks into your castle to assassinate your Player Character. He decides to just take a few family heirlooms, only to get caught and thrown in a cell. You can then choose between killing him, conscripting him, or letting him go - in which case he comes back and asks to join your team of his own free will.
In Golden Sun: The Lost Age, this is Karst's motivation for wanting to kill Isaac, who'd fought her Cool Big Sis Menardi to the latter's death. This goes a long way toward making Karst one of the most sympathetic antagonists in the series.
In Duel Savior DestinyShezar is actually pretty pissed off in Mia's route when Mudou is killed before him, though they never really got along. None of his teammates seem to care and simply try to replace Mudou.
Borderlands 2 DLC "Sir Hammerlock's Big Game Hunt", which canonically takes place after the end of the main game, has the main antagonist Professor Nakayama wishing to avenge the death of Handsome Jack, who he was fanatically devoted to (despite the fact that Jack is preposterously cruel to his employees).
In Heroes Rise, Prodigal's goal is to become the greatest supervillian the city has ever seen as a homage to her mother, Miss Artillery, who was accidentally killed by your parents. Getting Revenge by Proxy on you is a bonus.
At the end of the sequel, Prodigal shows up and offers an alliance with you against the Bigger Bad President-Elect Victon, revealing that her mother may still be alive and the whole thing was set up to get your parents out of the way.
... and recent strips have revealed that Vaarsuvius jeopardized the entire mission doing so, since Girard Draketooth's family were related to that dragon, and thus subjected to Familicide.
Goblinslayer from Goblins swears revenge on Thaco and the other goblins for, among other things, killing The Dragon Saral Caine.
In Sluggy Freelance Zoe killed the demon K'Z'K several years ago. Now a cult that worships K'Z'K is keeping her under surveillance for unspecified, but undoubtedly very nasty, reasons.
Slightly Damned's Lazuli swore revenge on the angel Kieri after she fought and wounded her in a battle and killed her comrade Talus
The set-up for How I Killed Your Master. More specifically the master in question ruined the narrator's life when he was a child and he's explaining to said master's pupil why he did it.
In The Gamers Alliance, when a minor villain named Dorecia is killed, her lover Ferron promises to hunt down her killer who turns out to be Refan. Belial wants to avenge the death of his brother Antigonus who opposed various heroes in the past, and this later gets reversed when Antigonus comes back to life and finds out Belial has been assassinated, so he swears to punish the ones responsible for Belial's death.
Near the start of the third series of lonelygirl15, the protagonists are pursued by the Shadow of Bill Porter, the Big Bad of the previous series. Subverted when the Shadow is abruptly run down by a car in "In the Bedroom".
Similarly, in KateModern, Michelle Clore's Shadow came after the main characters after the death of his Elder left him furious.
In Noob, Précieux continues the quest to prove that Sparadrap is actually a better player than he seems after his mentor Dark Avenger ends up quitting the game over not being able to get proof for too long and being tired of the Villain Decay the situation caused to him.
The son of Frank Grimes on The Simpsons, who came to get revenge on Homer after his dad died.
Also, Goliath Jr. in the Bible Stories episode.
Bart/King David: You killed my best friend!
Nelson/Goliath Jr.: You killed my father, who was like a best friend!
Variation: Drago of Jackie Chan Adventures is Shendu's son from a Bad Future, but he didn't come into play until the final season (after a brief appearance in the previous one) and has no real interest in helping his father. In fact, he has a battle with his father in the finale, which leads to both of them getting sealed away.
Occurs quite a bit in Teenage Mutant Ninja Turtles. In the original comic books, the Foot Clan's vendetta against the Turtles begins after they kill the Shredder in the first issue. The same occurs twice in the 2003 animated series, first when the Shredder is believed to be dead in the second season, and later after the same character is exiled in the fourth season, leaving his adopted daughter in control of the Foot Clan.
The purpose of the appropriately-named Knights of Vengeance in the early second season of W.I.T.C.H. was to avenge the previous season's Big Bad, Evil Overlord Phobos. Of course, this was all just part of Nerissa's schemes.
In the Avatar: The Last Airbender episode "Avatar Day", Aang was arrested and put on trial because in a past life (Avatar Kyoshi), he killed the village's founder, Emperor Chin. This is a partial subversion of the trope, as the villagers believed Chin to be a benevolent ruler, but Kyoshi revealed he was a horrible tyrant expanding his empire.
Gargoyles uses this trope in "City of Stone" to hammer home the pointlessness of revenge: Canmore wanted to kill Macbeth to avenge Duncan's "murder," even though Duncan had been a treacherous villain who had brought his fate upon himself.
Transformers Prime: Dreadwing comes to Earth primarily to avenge his brother Skyquake's death at the hands of the Autobots. However, Megatron refuses to have any agendas conflicting with his own, and orders Dreadwing to give up his revenge quest (so that he'll only fight the Autobots when Megatron orders it). Since Dreadwing is undyingly loyal, he reluctantly complies.
His loyalty hits a breaking point after the events of "Patch", where he learns that Starscream is being allowed to rejoin despite desecrating his brother's death. Dreadwing tries to kill Starscream over it despite being told to stand down by his master. Megatron is forced to kill him.
When Silas has himself transferred into Breakdown's body, Knock Out wants to dissect him for this desecration. He gets his wish when Silas fails to be an asset.
The Legend of Tarzan: Clayton's sister (the villain of the movie). Appears to take her revenge in one episode, poisoning the eponymous character and putting his friends and family in death traps (giving him the choice between saving them or going after the antidote). After he chooses to save them and rescues her from a death trap she realises she made a mistake and gives him the antidote.
Part of the Viking people's code of honour was that if a family member is killed, you should avenge him, even if the killing was sorely provoked. There were exceptions to this, but not many. Troublemakers could be a serious problem for their more sensible relatives because of this. Not surprisingly, there was many a blood feud due to the Cycle of Revenge that would inevitably arise.
The Vikings eventually figured out the concept of weregild, blood money because of this. The families could either go avenging each other for generations, or pay a large sum of money to the family of the deceased and be done with it.
Another way was to disown the family member.
This was true of more peoples than just the Vikings. The Japanese, the Arabs, the Sicilians, many Native American cultures, the Celts, several African peoples... it'd be easier to think of a culture that didn't accept and venerate the idea of blood vengeance.
Malcom Gladwell theorizes that the culture of honor that persists in the American south is directly descended from the area's ancestry in the Scottish highlands. To this day, insulting a southerner is a good way to get yourself beaten.