In "Chrysalis," the Queen manages to break Zachary by torturing his Rangers in front of him, making him think he witnessed Niko's execution, casually discussing her plans for Earth in front of him, and following it up with telepathic Mind Rape. When Niko actually comes back with the BETA fleet, the Queen, in a rage, starts to kill her in front of Zach. He flips out, grabs the Queen, puts them BOTH in the Psychocrypt, activates his bionics without having access to his badge and blasts her into ash.
"If it will end the nightmare, then I don't care. I'm already dead. This is for the two years of my life you've stolen from me, you BITCH!!!"
In Chong Sheng, Katara goes on one of these when the Rough Rhinos taunt her after torturing and murdering Jet right in front of her. Though it warrants mentioning that the distinct lack of roaring on her part is what makes it Nightmare Fuel.
In the 'Help Me, Dr. Hazama!' fanfic 'Disaster-Piece Theatre', we have Kokenoe inexplicably growing to gigantic sizes and taking out almost the entire cast because they helped replace her favorite game
Jha'dur's attempted revenge in canon is described in the show's entry on the Live Action page, but The Dilgar War makes it worse by pointing out she particularly hated the Markab and the plague that exterminated them in horrible pain started at about the same time she, a Plague Master, had resurfaced after being believed dead for over twenty years.
In Twisted Colors, this is Gadvein's...whole reason for existing: killing the fuck out of everyone who ever supported Britannia in the EU, or anyone who supported Kyrl, or anyone who supports anyone who supports Britannia...he has a humongous list of people he wants dead, and he is not stopping until every single one is dead.
The Stars Will Aid Their Escape: When Trixie (who the heroes have been tricked into believing is the Big Bad) appears at Canterlot during the eclipse celebration, Applejack goes into a blind fury and attacks her for what happened to Apple Bloom. She very nearly beats her to death before Rainbow Dash talks her down.
Applejack again in Equestrylvania, during the climax of the first book. When she finds out that Marble raised her parents as zombies during the attack on Ponyville, she goes into a blind rage and nearly hunts Marble down to kill her — fortunately, Big Macintosh talks her down, reminding her that due to Marble's Evil Plan, any harm done to her will mean the deaths of all the foals she poisoned.
Alex Harris, possessing all the powers of a Kryptonian, gets positively medieval on the Thunderbolts after they turn his girlfriend into "collateral damage" in Origin Story. She hits Bullseye so hard that the assassin's adamantium-reinforced skull deforms around her fist, rips Radioactive Man's heart out with her bare hands, rams a forefinger through Songbird's larynx, burns the Venom symbiote into a puddle of smoking goo with her heat vision, and pitches Penance into outer space. She leaves Moonstone alive and (relatively) unharmed as a “message” to Norman Osborn.
In the second part of the Elemental Chess Trilogy series, certain events are intended to make Roy Mustang go on one of these. But in a subversion, he doesn't - partly because he's too sick to even get out of bed.
In "Blind Mans Bluff", Nick comes extremely close to exacting one of these on Brenda and the rest of the Angels when Brendagloats about one of her teammates torturing Ellis to death. His Berserk Button was smashed to the point of no return, and he was in such a frothing rage that he was planning to kill all of them with nothing but his bare hands, even though they were heavily armed.
This is Rainbow Dash's entire motivation in the aptly-named Loyalty's Vengeance. It seems to be turning into more than that, though.
It gets glossed over, but in Temporary Hiatus Daring Do went on one when Ahuizotil kills her father. Ahuizotil says she literally tore through his personal guard and nearly killed him. One has to wonder what Rainbow Dash and Twilight's reaction to this would be...
In A Growing Affection, after the Blood Drinker Doraku appears to kill Hinata in chapter 11, Naruto unleashes two previously unseen jutsu, and shreds large chunks of the demon's body with Rasengans. When the demon taunts him with the fact that Naruto can't kill him, Naruto blows a hole through Doruka's chest, drives a stalagmite through the hole, pinning Doraku to a cave wall and then has his Blood Clones collapse the cave on top of the "vampire".
Whilst not stated in the actual series itself, Waltz of Third Fang's "Yet Again" went on one so terrible that it not only gave him the names The Red Flood and The Eyes of Stone. And it messed him up, to the point that anyone stupid enough to remind him of that day better pray that they're corpses are still recognisable as human once he's done.
Spock, in Atlas, basically orders one of these when he feels his lover Jim Kirk killed through the mating bond they share. It results in probably one of the coolest lines ever to be delivered by a vengeful Vulcan: "Find her. Prevent her goals. Destroy her plans. Break her dog. Lay waste to all who gather around her. Ensure that she comes to regret ever hearing the name James Tiberius Kirk." This is eventually carried out in a Crowning Moment of Awesome.
Abused daughter Batel of Toy Hammer's roaring part of her rampage of revenge begins when she calls out her step-father, while giving in to her more evil nature. Not much detail on what exactly, but the sadistic man treated the mother and daughter both like 'toys', so the worst can be assumed.
Her revenge started earlier with a very ill-advised pact with the Chaotic Evil Chaos Gods.