In Idiotsitter, this is Invoked and Averted in "Fight Day", Gene waits till the end of Fight Day (7 PM), hiding to avoid being hit while telling the others to go after each other (she even tries to time the exact 'ding' of the clock, but fails several times). Its averted because Billie punches her in the face anyway.
In CrazyCommentaries's LP of Super Mario 64, the penguins are this. They made the duo search for about 10 minutes to find the penguin that was right at the start of the level, launched the duo off a cliff for trying to throw them off, yelled at them for taking a shortcut, and pushing them off the edge of a racetrack at one particular turn where it is already really hard to get past it in the first place.
Survival of the Fittest. The Big Bad Danya, who, so far, has managed to avoid any serious repercussions for his crimes (although he was injured twice, and as of v3 seems rather proud of the scars) is definitely one of these. Arguably certain villains also avoid getting their just desserts, experiencing relatively peaceful deaths as opposed to the violent slaughter they visited on their victims. Version three ended up subverting this; JR Rizzolo won the game, but when he got home he found his family had abandoned him. During the events of the fourth season, after he'd managed to become a celebrity, he is murdered in his home by Maxie Dasai.
As of the ninth announcement of v4, Danya is no longer a subversion, thanks to Dorian Pello.
In the Whateley Universe, one of the most evil villains we have met so far is Dr. Emil Hammond, a normal who has experimented on and tortured mutants for decades. He was captured, but in a huge 'OJ Trial', his super-expensive legal team (hired by the mutant-hating Goodkind family) not only gets him off but makes it look as if some evil mutant supervillain has been framing the poor man. He gets hired by the Goodkinds as a researcher, and when 14-year-old Trevor Goodkind manifests as a mutant, Hammond tortures the kid for days. In another story, we see that Hammond has a lab devoted to agonizing experiments on teenaged mutants. Punishment so far? None at all. He has a bigger lab. The overall plot has advanced about one semester out of what seem to be a planned 4 years; it may be a bit early to claim Houdini-hood for villains who simply haven't gotten their comeuppance just yet.
The most egregious example by far is Dad, who was able to avoid having to face the consequences for his inexplicable acts of random violence...by rocking out really hard. Also, his head caught on fire again. Seriously, what's up with that?
This is Michael-lan's current intended goal in The Salvation War, but as a whole the demons (particularly Memnon) have in effect been let off the hook for their murder, rape, and torture of "undead" Second Life humans... by the modern humans, anyway. The undead, on the other hand...
Ultimately, Michael's plan succeeds beautifully, but he immediately discovers that he was Out-Gambitted by Ehlmas, and is now doomed to be a meaningless puppet ruler for all eternity.
Discussed in The Nostalgia Chick's review of Jem: one of the things she actually finds funny about the show is that the Misfits are always doing wildly illegal things without anyone seeming to care.
Any FP game where you have to do an objective while avoiding a supernatural force that wants you dead. Said forces can kill you gruesomely & not have any regrets whatsoever. One such example is Slender.
In The Confession the Confessor doesn't pay for his crimes and the only person who knows about it can't tell anyone.
Ultimately by the final chapter of Worm, Contessa.
In Marble Hornets, the Operator himself is the only villain who isn't stopped by the conclusion. This is justified, as the Operator is immortal and basically impossible to truly destroy, not to mention he may not even be able to feel suffering like humans do anyways as he's more akin to a force of nature. Thus the only hope is that letting him finally take the person he'd been hunting for so long (Alex) was enough to satisfy him. The ending seems to suggest that the answer is that it was, but deliberately ends on a note of ambiguity by having Tim cough while in the woods like the Operator's presence often caused people to do.
In the first instalment, Notepad's influence drives the puppets insane, though it's unclear how intentional this was. They are never punished. Subverted later in the HELP videos where Unnamed Monster rips their face off.
In the HELP videos, the Unnamed Monster holds the puppets and Notepad hostage and tortures them horrifically. He gets off totally scot-free.
In the third instalment, Shrignold and the Love Cultists attempt to brainwash Manny into joining an insane cult and force him to marry his Special One against his will. It's also left ambiguous whether Shrignold raped Manny. They are never punished, though given how awful the initiation process is it could be argued that what they went through before their appearance was bad enough.
In the fourth instalment, Colin traps the puppets in an alternate universe where all they can do is open doors over and over again for eternity just because Red Thing touched his keyboard. He completely gets away with this.
In Friendship is Witchcraft Twilight Sparkle gets away with throwing Cadence in a pit to die and marrying her brother Francis. Nor does she get any sort of retribution for the other evil actions she's done. To make matters worse, she's convinced that this makes her the hero of the story.