From Hell Girl, this is tried out by Mikage Yuzuki after she succeeds Ai Enma to send the one who sent her friend to hell... to hell. It doesn't go over too well and even before then, Ichimoku Ren and Honne-Onna leave.
It's worth noting though, that the two have entirely different motivations and goals, and only vaguely similar tactics.
Stated and demonstrated by Mewtwo in Pokémon: The First Movie. When one of his human guests says that a Pokémon can't be a trainer, Mewtwo counters this argument by tossing him into a fountain via telekinesis and later proceeds to do the same with said human's Gyarados.
This is pretty much the motivation for Androids 17 and 18 of Dragon Ball Z, albeit to different extremes depending on the timeline. (The androids from Future Trunks timeline killed and destroyed simply For the Evulz while those in the present timeline were more interested in petty crimes and causing trouble, rarely using lethal force against any who tried to stop them, and viewing the hunt for Son Goku as a "game.")
Ling-Ling Huang. So badly. She and her brother need to get Tsukune into the Haung family's mafia. After Fang-Fang's initial request and failed challenge, she drops in on another attempt when Mizore points out that he needs to offer something in return. The Red (Huang's) Team wins? Tsukune joins the mafia (the girls are free to follow him, something they don't entirely have a problem with). The White (News Club) Team wins? Tour China's hotsprings, it's on us! Cue a couple hundred Jiang Shi on the Huang family's team, armed with bombs, emotionlessness, and dismemberment. What takes this Up to Eleven is that supernatural powers are explicitly against the rules, and what's Ling-Ling's excuse? "Whatever. I'm already dead."
In Yu-Gi-Oh! The Movie: Pyramid of Light, Anubis uses his power to protect the Permanent Trap Card "Pyramid of Light" from being destroyed. Then, he uses souls to empowers his Theinen the Great Sphinx and tenfolds its ATK. And then the Pharaoh destroys it with his three Egyptian Gods without using effects, but by just combining their power, and he didn't used Obelisk or Ra's effects to destroy it.
In Yu-Gi-Oh! GX, Judai uses Super Polymerization to fuse himself with Yubel, his opponent. As you guess, the result is ambiguous.
In Yu-Gi-Oh! 5Ds, Godwin uses a bit of the power of the King of the Underworld to sabotage his three opponents by sending darkness condors to them. That's right. He doesn't use Monster Cards, but outside force.
A lot of fans of Yu-Gi-Oh! ZEXAL think that Yuma's ability to use Shining Draw in Zexal Mode pushes the limits of fair play, but you can excuse him, seeing as the villains cheat worse. Eliphas, however, you cannot. His godlike powers and authority over the Astral World let him use the Shining Draw ability any time he wants (the equivalent of magical deck-stacking), as opposed to Yuma, who can use it at most twice per duel, and only in Zexal Mode. To make this worse, Eliphas sort of broke the bank on broken cards, his ace monster being a Rank 13 Xyz Monster that was able to gain 33 Overlay Units. (Most real players would consider that, well, impossible.) Ironically, despite this blatant cheating, Yuma was able to defeat him without Astral's help, using a Rank 1 Xyz Monster.
The majority of Campione!'s titular warriors hold the belief that their status grants them the right to do whatever they please. Godou Kusanagi is an exception. The magic associations have learned to accept this and simply try their best to earn favor so Campiones will be less likely to destroy them and their countries out of irritation.
Mark Waid and Peter Krause's Irredeemable shows us what happens when a Superman-level hero suddenly decides that he's completely sick of humanity and its infantile whining. During the first few pages we learn that the Plutonian has already killed millions by basically nuking a city and we personally see him incinerate one of his former allies in his own home, killing his wife and children as well. The series takes us along as his former mates try to stop him, but even they fear him as they would an angry god.
Brian Michael Bendis' Powers also briefly explores this fallen-hero theme (much like Irredeemable, but only for a short story arc).
This trope gets uttered almost literally in one issue, where a man walks up to a bank teller and tells her simply, "I have powers. Give me all the money."
There's a similar example to the one above in the Marvel series Exiles, where, in an alternate reality, Blob walks into a bank and hands the teller a note saying "This is a robbery. I am a bulletproof mutant. Quietly hand over the money." A security guard starts firing at him, and Blob merely shouts "Can't you people read?"
"Mark Milton", aka Hyperion in Supreme Power gets this revelation along with some basic Übermensch / The Unfettered philosophy when he learns he's an alien and was lied to since birth to make him a tool of the government.
U-Go-Girl of X-Men spinoff team X-Statix originally decided to use her teleportation to commit crime, intelligently - stealing tons of petty stuff and not challenging any superheroes. She got bored of it after 15 minutes when she got everything she always wanted and ended up returning it and becoming a superheroine instead.
The entire story of Final Crisis Aftermath: Run! The more power the Human Flame gets, the more petty his behaviour becomes. (And he was a minor-league supervillain to start with.) Note that in the first few issues, he betrays his wife and daughter and sets small dogs on fire. It gets worse from there.
Pretty much the basic premise of Wanted. The Fraternity were a group of supervillains who had triumphed and actually retconned the superheroes out of their reality. As a result, anyone with super powers was a member of the Fraternity, and anyone wearing a Fraternity badge, or driving a car with Fraternity plates could get away with anything and everything.
The kids in Runaways pretty much do this, but they only screw some rules. They aren't actually breaking every law they think of. Just child protection laws, truancy rules, etc. They're still superheroes after all.
The Invisible Man from The League of Extraordinary Gentlemen uses his invisibility to kill a police officer and steal his clothes because he was cold. This is perfectly in character with the original (see under "Literature", below).
Invincible mentions this during a crossover with The Astounding Wolf Man. When Wolf-Man asks if Invincible will get in trouble for breaking government property and beating up superheroes, Invincible shrugs it off, saying that as long as he's strong enough to save the earth, he gets a pass.
While he often blows off the rules for good reason, Invincible increasingly starts to believe that because he's the most powerful superhero on Earth, the rules don't apply to him all. This is treated as a decidedly negative trait, and eventually backfires badly.
The Authority, though for their case it might be more of 'Screw The Rules I Have Supernatural Powers - And I Will Make New Rules!'
The New 52 version of young Superman in Action Comics and the first story arc of Justice League; which take place in his early superhero years. He laughs at the cops, throws CEOs into rivers, chokes Batman, etc. He grows out of it and is much more humble in the present.
In The Boys every superhero is this. They have superpowers and they decide that they can do anything they want, and feel that the government can't stop them.
In All Your Base Are Belong To Her, Dawn embodies this to an Epic degree. She was bad enough back in the Buffyverse, where a small remnant of her awakened Key abilities remained active even after Buffy sacrificed herself, allowing her to defeat any lock. When she enters SG:1's universe, however, and discovers that Key+Portal Network=Teleportation abilities, she lives this trope with joyful abandon. Basically, if there is something shiny, fashionable or valuable lying unattended anywhere in Colorado, she'll get around to taking it eventually.
President Business convinces Emmet that the Master Builders are like this in A Piece Of Rebellion. Supposedly, they think that their powers mean they should be able to do whatever they want, without caring how it affects ordinary civilians.
The main character uses his ability to rob banks in Jumper.
The telekinetic guy from the movie Sidekick (not to be confused with the trope sidekick) begins using his powers for little practical jokes and stuff like that, but by the end, he's murdering people left and right.
Pretty much the entire concept of the dark side in Star Wars.
A significant part of Hancock's attempt to clean up his act is to convince the public that he doesn't live by this trope and that they can hold him accountable for his actions, willingly serving prison time for instance, until he's called back in to help.
The title character in The Invisible Man also uses invisibility to steal and tries to plunge England into a reign of terror.
Examined and played with, heavily, in Dresden Files. Most supernatural beings feel no compunction towards obeying mortal authority, or believe themselves allowed to ignore the laws (case in point: the Wardens executing warlocks).
Played with, however, wth the supernatural world's set of laws codified by the wonderfully wicked Mab: the Unseelie Accords, laws to govern how magical beings behave towards one another. Most heavy players follow these laws - save for Nicodemus, who believes that his immortality and powers mean he shouldn't need to bow his head to anybody.
In Anne McCaffrey's Talent series, in the early days the psychics form a group with a code of behavior in order to try to avert this trope. When a girl more powerful than any other psychic in the world learns how to use her powers (ironically because she saw a public service announcement by the group) she goes on a crime spree which eventually results in murder and her own death. In later books, every Talent of significant strength is brought into the fold early and taught to use their powers responsibly.
The basic plot of Marlowe's version of Faust. He gains supernatural powers through a Deal with the Devil and decides he can do whatever the heck he wants. After they do that, he grows increasingly petty, stooping to playing pranks on The Pope, amusing the Emperor's court, and eventually just dying alone, realizing how badly he wasted his potential.
The Kitty Norville books spend a great deal of time thinking about this trope. In one of the earlier books, there's a big discussion on why (and why not) they don't often see supernaturals knocking over banks and the like. This is definitely averted with main character Kitty, but she does run in to a lot of people who feel differently, especially as the series progresses.
In an extreme example, in The Riftwar Cycle novels, the Great Ones of Tsuranuanni were legally outside the law. They could literally do anything unless the Assembly of Magicians (A council formed of all of the Great Ones) ruled that they couldn't (only done once in story - to declare that they could not free slaves). Beyond that, they could arbitrarily declare - and be obeyed - that people shut down their businesses, entire noble clans commit mass suicide, wars be arbitrarily ended, or anything else they could think of.
In the Animorphs series, David sees nothing wrong with using his newly acquired powers for casual theft. Fortunately, the other heroes are a bit more moral.
The other Animorphs might count as well, considering that David gets the idea to use his powers for theft from the heroes in the first place.
The other Animorphs are examples, often using their powers for things like stealing a car dealerships mascot, cheating on a science project, sneaking into concerts, ruining a restaurant's reputation, and spying on people. While they don't often resort to outright theft, it's not uncommon to see them do things in the early books because it made things easier, or it was funny.
The protagonist of Jumper used his teleporting powers to wage a one-man vigilante antiterrorism campaign. In the 1990s.
In a moment almost ripped from a buddy comedy, he kidnapped both the terrorist leader, and the NSA agent following him, then left them on an island surrounded by freezing-cold water in a large, sheer-walled pit in the desert.
In The Vampire Chronicles this tendency becomes more pronounced as vampires age, and their powers and invulnerability increase. By the time they have reached a point where they are a Flying Brick with Psychic Powers, the rules of both humanity and weaker vampires become distinctly less important to them.
Many Epics have this mindset in The Reckoners Trilogy. Epics generally view normal humans as expendable at best: many Epics enjoy killing and/or torturing unpowered individuals for shits and giggles.
Sliders had a world in which a group that could kill through dreams flagrantly broke the law and killed people right in front of the police with their powers.
Of course, nobody thought to just arrest the whole group, preventing them from touching you.
Another episode has a world where magic is real, so the cops are afraid to touch powerful sorcerers.
In the pilot episode of Star Trek: The Original Series, Gary Mitchell developed superpowers after the Enterprise crossed the energy barrier at the edge of galaxy: he swiftly developed an A God Am I mentality and started killing crew members. Averted when it came to Dr. Elizabeth Dehner, who used hers to stop Mitchell and ended up getting killed in the process.
Charlie Evans from "Charlie X" was given superpowers by the Thasians after his ship crashed and everyone else was killed. When the Enterprise picks him up, he has obsession with being liked and "removes" people from reality if they piss him off. Eventually the Thasians show up to take him back and repair the damage, but they're too late for a ship he destroyed that was trying to warn the Enterprise. While Charlie repents in the end and promises never to use the powers again, Kirk and the Thasians agree that it's too much of a temptation.
Trelane from "The Squire Of Gothos". You want someone to hang out with? Instantaneously pluck your guests from their ship. Said guests try to defy you? Chase them around with the planet you're on. Fortunately, Trelane's parents are close by whenever he takes the trope too far.
There was an episode of Star Trek: The Next Generation where a guy would enter people's dreams and do terrible things to them. He enters Dr. Crusher's and Counselor Troi's dreams and rapes them, and he enters Riker's dream and beats him within an inch of his life. When confronted, he claims to see nothing wrong with doing something for fun. Until he tries it again on Troi and Worf comes to her rescue.
Basically every single member of the Q Continuum ignores all rules imposed by anybody except their own kind, and even then it's kind of iffy. Being omnipotent they can get away with this since nobody more powerful than them has appeared in any canonical story. Q's own son, appearing as a teenage boy in Star Trek: Voyager, flat-out tells Janeway he can do whatever he wants because he has unlimited control over space, time and matter. At least his father felt the need to claim "superior morality" as a justification for his behavior.
Kind of the entire point of most plots - romantic and non - in the first few seasons of Smallville. The meteor freak of the week suffers "Kryptonite Psychosis" and uses their meteor-given powers for their own selfish gain, perfectly willing to commit multiple murders to further their goals before Clark stops them and they get sent to the Belle Reve mental institution. Lampshaded numerous times by characters biased against meteor freaks.
Clark himself when under the influence of Red Kryptonite. His Red K-activated personality, Kal, acts out Clark's basic wants and needs without concerning himself with the consequences of his actions, and is not only unconcerned with keeping his powers a secret, but is even tempted to go public with them because he believes that his powers make him infallible.
The Twilight Zone episode "It's a Good Life" is built on this, although six-year old Anthony is convinced that he's just doing good things. Including getting rid of bad people. And of course, only bad people would think that the things he does could be bad...
The finale of The Invisible Man had the titular character permanently cured of the insanity-causing side effect of his invisibility, thus no longer needing a regular supply of the temporary cure from his government employers. His initial response is to return to the life of crime he'd lived before being recruited as a test subject for invisibility. Subverted shortly afterward, since after finding a bank robbery to be pathetically easy and boring with his powers (and realizing he's actually grown to like being one of the good guys), he returns all the money before anybody even realizes it was stolen, and eventually goes back to his old job...but demands a higher salary for both himself and his partner, and the re-hiring of the scientist who cured him against orders.
Widespread among vampires on True Blood. Although their public relations campaign claims that they just want to be a part of normal human society, including having equal civil rights, they have no problem with breaking the law if they think they can get away with it. In particular they are not above using mind control on humans and/or feeding from people without their consent.
In one episode, Bill even subverts the rule that vampires aren't allowed to enter a human's home without an invitation by glamoring one of them and having that person invite him. In another episode, Eric physically threatens Sookie (who can't be glamored) into inviting him in, although this is only because he senses a werewolf in her house.
Older Than Feudalism: The Greek myth of Gyges (most well known from Plato's The Republic) is about a man who finds a ring of invisibility and uses it to commit all sorts of crimes, culminating in seducing the queen and killing the king.
The third quote for Masquerade illustrates a problem with this train of thought. That said, vampires in Vampire: The Requiem (and most supernaturals, for that matter) can get away with a lot considering both the Crapsack World they live in means people just don't care about most crimes, and their Masquerade clean up is top notch. (Provided you have the expertise/pull to have the clean up done for you without getting staked, mind you.)
Most sourcebooks for The World of Darkness specifically warn Storytellers that this might be the case, and advises them to bring the hammer down if it happens. (A vampire kills a cop? Cop murders never go cold-case, and they might break through the Masquerade if they search enough; cop-killers tend to be left for the sunrise once the Prince finds out.)
Exalted: How many players think this since you are, after all, the chosen of Gods and superior to normal mortals in every way! If you can cut down mortals with ease, why should you bother with their petty morals? You are a Living God! compared to them!
Not just players, either. Attitudes like that led to the depravities of the First Age.
Or yet, sometimes, just the characters. The player himself might not agree with such philosophy, but power corrupts and the exalted are literally more powerful and more important than most gods. Indeed, a character's attempts to avoid this trope can make for a particularly epic storyline within a campaign, regardless of success or failure.
This is Chaos's schtick in any of the Warhammer games. Because of their supernatural abilities, Chaos cults have been known to permanently take over entire solar systems and beat on the punitive army that arrives to take back what's theirs. It can get so bad that some worlds have essentially become permanent Chaos vassal states with no one being able to do anything about it.
Wise Old Man: Vini; volui; mihi est (I came; I wanted; it's mine).
This is part of the Telvanni's outlook in The Elder Scrolls III: Morrowind: Might Makes Right (it's one of the core principles of the House, and your 'in' to be able to rise high despite being an Outlander), and the Telvanni tend very strongly towards magical might. They only care about Temple and Imperial bans on 'blasphemous' and 'dangerous' magic insofar as the Temple and the Empire can enforce those bans — and since the House is led by a bunch of powerful sorcerer-lords, this is not very much.
The whole point of Prototype is that you got superpowers and can do anything you want.
Subverted in Homestuck; Vriska uses her powers to kill, disable, and maim many other trolls, but this is in fact entirely legal and entirely natural and commonplace on Alternia.
Mitchell Calrus/Xio tries this in Fine Structure. He fails in an epic fashion, not by getting caught but by being incredibly obvious and inefficacious. Seph spends several paragraphs afterwards harping about how he is a "terrible, ineffective supervillain".
Taylor, of Worm, comes to essentially this conclusion about the existence of parahumans; that they cause the system of human civilization to break down around them because it wasn't designed to deal with people like Alexandria, who can fly faster than a jet, is smarter than any ten geniuses, and is Nigh Invulnerable, or her, who can essentially perceive everything that happens within five city blocks. Instead of using her powers for her own gain, however, she decides to try to find a system that does work.
This is part of what makes the original Ben 10 so enjoyable, because in a rare protagonist example, Ben does what pretty much any ten year old boy with super powers would do, switching between beating up super villains in the streets, to using his powers to find the prize in a box of cereal without buying it.
This also gets referenced in Alien Force after his parents find out not only about the Omnitrix, but that Ben had been lying to them for years to cover up his superheroing they very quickly ground him. He actually plays along until he points out that they don't actually have the power to enforce this punishment, transforms, and flies out the window to help his friends. This shows how much Ben has matured since the first series in that he's still willing to break some rules, but only because they were stopping him from doing good and helping people.
Alien Force villain Darkstar plays this trope very straight.
The Griffin family in the Family Guy short "Super Griffins."