12th Feb: A new policy is being put in place for TRS threads: If there is no evidence provided in the Opening Post that the page is broken, the thread will be nuked immediately. See Everything You Wanted To Know About Changing Names for what constitutes evidence.
5th Feb: Echo Chamber Season 1 blooper reel on Youtube here
And after Guts has a breakdown when they have sex for the first time, she gives him one of these. Both cases become worse when you realize that both of the receivers of Casca's Hugs o' Healing may be badass, but are painfully starved for genuine affection and intimacy.
During the final battle of Mai-HiME, Mai does this to a Mind Control-influenced Mikoto...and it works. For those of you keeping score at home, that marks the second time Mai's saved/spared Mikoto's life (the first time came in the first episode when Mai rescued her from drowning).
Natsuki does the same thing to Shizuru, just one episode prior. Though it was really the kiss that had more effect, the hug was definitely part of it.
In Mai Otome, when Nina tries to run off to look for her father Sergay after the canceled survival exam, Shizuru stops her, slaps her to bring her to her senses, tells her they are doing everything they can to find him, and then follows with a Cooldown Hug.
In the Fate/stay night anime, Rin runs up to Sakura as she's beginning a Super Power Meltdown. Slightly subverted as Sakura is shown to have stabbed her, though Rin appears to just walk it off. This is a reference to the unanimated Heaven's Feel scenario of the original game, when Rin does this to Sakura who is currently in her evil mode.
After newly-turned vampire Seras slaughters enemy zombies and goes into a Unstoppable Rage in volume 2 of Hellsing, her boss Integra hugs her from behind and begs her to stop. Luckily enough, it works, and Seras is horrified by what she's just done.
The last episode of Revolutionary Girl Utena has a rather cruel subversion, since it looks like Anthy is doing this to Utena as she's getting PO-ed at Akio, but it turns out that Anthy just stabbed Utena in the back — literally, with a sword.
Possibly explained -though not properly used- in the Komi Naoshi oneshot, Koi No Kami Sama: if chaos and Bad Things are happening around but not to Subject A, then the safest place to be is wrapped around Subject A's shoulders. The story being what it is, the hug is key to stopping the Chaos and Bad Things.
Clare then does the same to Jeane when she's about to awake, complemented with some direct manipulation of Jeane's powers.
Raki attempts it again at the end of the series, when Clare has presumably gone too far beyond the point of no return. It doesn't work, since struggling with herself for a few moments Clare attacks him, but ends up killing a fellow Claymore who knocks Raki out of the way at the last moment. That does make her snap out of it.
That scene happens slightly differently in the manga, with an already badly wounded Jean grabbing Clare and aligning their energy, turning Clare back. However, she does get stabbed even more in the process, and she dies.
Naruto has Sakura do this to Sasuke in the Forest of Death as his Cursed Seal begins to act up. Much later, this is subverted when she tries to do the same to Naruto and it doesn't work.
And much later, Naruto himself gives one to a darker version of himself.
Mochizuki Oboro in the manga Psyren has a slight deviation of the this as his actual power. He can heal people by hugging them.
Hiryuu does this to Tatsuo at one point.
In InuYasha, Kagome does this to Inuyasha twice to revert him from his Superpowered Evil Side, once in the second movie and once in the last episode of the anime. The movie instance also involved a kiss.
Which is odd because he was baring his teeth at the time of the kiss.
In the first Fullmetal Alchemist anime, at the end of the Laboratory Five arc, Ed needs one of these from Maria Ross.
Which is notably different from most of the examples because it's done by someone who didn't really have a close relationship to Ed. Normally a cooldown hug is used as an affirmation of the huggers true love for the hugee (be it platonic or romantic).
In the dubbed version and its subtitling, Ed can be heard (very softly) saying something along the lines of, "Mom... You're back," when hugged by Lt. Ross, thus confirming the emotional parental transference he experienced at that time which allowed the Cool Down Hug to work.
In Busou Renkin, after Kazuki tuns into a victor, Tokiko's hug is what turns him back into a human. It wasn't permanent though.
In the Galaxy Fraulein Yuna OVA, Ayako does this after convincing her older sister Gemmu to stop fighting. Subverted, as Gemmu hugs her sister lovingly, then rips out her power core, which is coincidentally located in her chest, making the scene horrifyingly symbolic. Also played straight two episodes earlier than this, albeit coupled with an Armor-Piercing Slap to get Ayako's attention.
In the manga Crimson Spell, spellbreaker Halvir at one point embraces cursed Prince Valdrigue to calm him down and prevent his Superpowered Evil Side from taking over. Of course, on numerous other occasions Havi allows (if not outright enables) Vald's curse to take over and then keeps the Superpowered Evil Side under control with sex.
Played straight in Soul Eater as Maka fires up her Black Blood to make herself as crazy as Crona, so that she can "synchronize" with him/her; connect psychically, then give him/her physical affection; even while Crona is trying to stab her. Since Maka hardens her Black Blood to deflect the hits, she's fine.
Another, more recent example from Soul Eater: Marie hugs Stein to bring him back from Medusa's insanity.
Pokémon Ash has given one to Pikachu in Hoenn, and Chimchar in Sinnoh. Both actually bit him during the process, although not intentionally.
Monferno goes under the effect of Blaze again in DP 163, and it takes two tries for Ash to get it under control. After this it evolves into Infernape.
Resulting in the Count's death of course, but that's a mere detail.
In the manga chapter of Magical Girl Lyrical Nanoha that features the Lightning Squad, it's revealed that his time in the illegal research facility left Erio very emotionally unstable and distrustful of everyone. When she was about to adopt him, Fate does this to Erio during one of his bouts of anger after he burns her hands.
Taken very literally in Venus Versus Virus, first Lucia hugs Sumire to snap her out of her beserk mode and later it is Sumire to hug Lucia has she is spinning out of control. Bonus points for vaguely romantic overtones.
Also, Sumire's hug to a weeping Lucia in the second volume of the manga.
Classically subverted in the last few pages of Lone Wolf and Cub. After Itto is finally Killed Off for Real, Retsudo holds his arms out like he's ready to grab and disarm little Daigoro. It turns out that Retsudo just wanted a hug, but that doesn't stop Daigoro from running him through.
In Ikki Tousen, this is the only way that Sousou can control his inner dragon, usually applied by his childhood friend, Huge Schoolgirl Chuukou. An in an inversion, once he is the one using it, on the Brainwashed and Crazy Myousai, during Great Guardians.
That's basically the primary combat technique of Rushuna in Grenadier. E.g. she defeats her Evil Twin Setsuna by hugging her, despite sustaining heavy wounds and falling unconscious. All Setsuna can do after seeing that is admit her defeat. That is also how Yajirou defeats Big Bad Kaizan Doushi... except for the small detail that by hugging him, he causes him to fall some fifty meters onto a solid surface. He wasn't taking any chances, was he?
To be fair, with the exception of Setsuna, most of the people she defeats this way are male, and with her a hug is more of a boobfaceplant.
In Ranma ½, Ranma could only be brought out of the trance of the Cat Fist by an old lady down the street. Since she's visible only in a flashback, the responsibility falls on Akane, who will throw herself into Ranma's way to grab him and calm him down. Fortunately for everyone involved, Cat-Fist Ranma utterly adores her, and gladly leaps onto her lap or into her arms whenever she calls him.
In Deadman Wonderland, Karako gives Nagi one of these when Nagi went berserk. And she gets run through by Genkaku for it.
Another successful usage occurred in its sequel, Umineko no Naku Koro ni. Ange uses this in order to snap Battler out of his Heroic BSOD. Unfortunately, thanks to doing this, Ange herself dies. But hey, it worked, right?
Used in the penultimate episode of Gundam00 by Sumeragi on Billy.
A variation is used in The Melancholy of Haruhi Suzumiya: In the last episode of the first arc, Kyon kisses Haruhi in a closed space variant to stop her from destroying and remaking the world.
Witch Hunter Robin gives one to Haruto Sakaki in the episde "Smells Like the Wandering Spirit." Her willingness to be openly affectionate to a teammate is one of the things that sets her apart from her more uptight teammates.
This is how Kamikaze Kaitou Jeanne defeated her former self in the manga and Dark Fin Fish in the anime.
Shinn does this to Stella several times during Gundam SEED Destiny, including a quasi-psychic one during the Destroy battle. The last one fails. Miserably
A variant occurs a couple of times in Junjou Romantica: when Misaki can't stop crying, Usagi kisses him, and the shock is enough to calm Misaki down; in one of the "Junjou Minimum" flashbacks, we see that he learned this trick as a child and used it on Hiroki when he was having a meltdown due to self-induced stress.
Happens with Sena in Eyeshield 21. After beating the Bando Spiders, him and Suzuna bump into each other. Suzuna starts talking, but Sena just collapses in her arms, having exerted all his strength that game.
Kenichi from Kenichi: The Mightiest Disciple tries to do this on Miu when she completely loses it against Kanou. It doesn't quite work the way Kenichi wants it to, however, so he's forced to use some...drastic measures.
There's a subversion, though. Minoru did manage to calm Hakko down enough to keep her from shooting everyone else... but it was still not enough to bring her back from the Despair Event Horizon, and soon afterwards the poor girl simply lets herself die in the collapsing labs, next to Santana's lifeless body.
The Violinist of Hameln: Flute gives these to Hamel on several occasions in the manga: The first time is just after The Reveal of his demon horn, when he went berserk and was only stopped by Flute running up and embracing him from behind. Later, Flute giving him these seems to be the only way to turn him back to normal when Hamel's demon blood takes over, though the first time he actually put his fist through her chest before succumbing to the hug.
In the manga Wild Adapter, Kubota gives Tokito one of these in vol 5 when Tokito goes completely berserk on hearing what might be his real name. All the creepier because Tokito breaks his arm for touching him, but Kubota doesn't even flinch, and continues to soothe him. It scares Shouta, who caused it inadvertently, completely out of his mind.
In Bleach, Orihime stops her Hollow-fied brother from further rampage with a hug and gentle words.
Also, in the Bount Filler arc, Orihime frees Rukia from the influence of a Bount by hugging.
D. Gray-Man: Allen does this to Lavi in chapter 120.
At the end of the Fruits Basket anime (and volume six of the manga) Tohru encounters Kyo in his true form, clutches tightly to his arm and tells him that she is scared of how he looks now, but that she is still his friend and wants to be together with him. Kyo calms down and changes back to normal, explaining his mother always claimed to love him but was terrified of his true form and was always checking to make sure the beads were in place. He tells Tohru "You dont have to love everything" and then he hugs her, changing him back to his regular cat form.
Kyo gives one to Tohru in volume nineteen when she's panicking about being a terrible person for pretending to be as much like as her dead father as possible so her mother wouldn't leave (after being in shock after his death).
Subverted in volume twenty when Kureno hugs Akito and she stabs him.
This happens early in the Chrno Crusade anime, in the form of a Cooldown Tackle, when Chrno goes berserk when he thinks Rosette has been injured, and starts to forcibly release the seal on his demonic powers.
In Rave Master, Elie hugged a crying Haru who is grieving for the lost of his father.
Played straight in Eureka Seven, with Renton hugging and comforting Eureka in episode 35 when she is in depression.
Lloyd also hugs Colette to get her angel powers to shut off when they're going a little haywire.
In Serial Experiments Lain, Alice Arisu panics to the point of slapping Lain hard enough to draw blood while thrashing about. Arisu had her arm raised for a second blow when Lain finally manages to get her into a hug, and well... it doesn't exactly fix her, but she does calm down.
In Samurai Deeper Kyo, Akira does this to a girl whose power is to release deadly corrosive spores into the air (her first ever hug, obviously), it startled her enough to manage to stop the flow.
In Ookami Kakushi, Kaori does this to Sakaki after he has a bit of a freakout. And then it turns out she's hugging him to drag him off a cliff.
In Angel Beats!, Otonashi does this to Naoi, who's extremely disillusioned with his life and wants to make everyone vanish by using his hypnosis powers to give them false memories*
. It works, and Naoi remains a... close friend of Otonashi for the rest of the series.
Last Order gives one to Accelerator in volume 15 of the To Aru Majutsu no Index when After beating the #2 esper since the #2 (Kakine) tried use civilians and Last Order as hostages to beat Accelerator, Accelerator goes to finish Kakine off, only for Yomikawa to stop him. Kakine stabs Yomikawa and Accelerator almost goes into an Unstoppable rage, tearing Kakine's arm off an is about to attack the anti-skill soldier nearby when Last Order stops him with a hug
Sylphiel gives one to Lina in Slayers NEXT, when she freaks out over thinking she's killed a little girl. Said kid turns out to be an Undead Child.
Sheryl does this to Ranka in Macross Frontier when she gets depressed of Alto is with the former.
In Ao no Exorcist, The crippling self-doubt from which Rin suffers in Chapter 26 is ended when he receives a Cooldown Hug. What makes this even more heartwarming is that they were on fire at the moment, and shrinking violet Shiemi, who hugged him, did so in order to prove her trust that he would not burn her with said flames.
In CLANNAD, Nagisa does this to Tomoya when his father goes to jail and Tomoya loses his chances of landing a very well paying job because of it. Tomoya snaps and begins pummelling the wall with his bare fists. Nagisa manages to embrace him and pin him to the wall to get him to stop. Once he's had a few seconds to breathe, he then asks her to marry him. She says yes.
Caesar to Nakaba in chapter 5 of Reimei No Arcana when she's freaking out over blood.
Fan Works
This has happens numerous times in Kyon: Big Damn Hero, with one time being Haruhi hugging Tsuruya because she's angry at herself as she feels responsible of Kyon being shot.
A few scenes later there's another, in which Haruhi and Tsuruya Glomp Mikuru and Yuki, who are already hugging, forming a CooldownGroup Hug.
Played with in X-Men 3: The Last Stand as Wolverine fights his way to Jean. Unusually for this trope, he's only able to calm her down momentarily, and takes that moment to stab her, though at Jean's request.
In The Santa Clause 3, Jack Frost's heart is warmed by a Cooldown hug.
A drunken and remorseful Loki tries this on his insane partner-in-crime Bartleby at the climax of Dogma and gets a shiv in his kidney for his troubles.
Also happens between Bartleby and God right before the latter blows him up with her voice.
In the obscure and forgettable animated movie We're Back! A Dinosaur's Story, the dinosaurs have been brainwashed and turned evil, and the kid protagonists are able to change them back just by hugging them.
Done almost literally in the first Hellboy animated movie when Liz Sherman goes a little berserk in the first part of the movie with her pyrokinetic abilities, only stopping when Hellboy comes up close and tells her she can stop.
In Eastern Promises, Nikolai manages a borderline example on Kirill, who is, at the time, having something of a mental breakdown. Not least because he's been ordered to kill his infant half-sister. It's both a genuine cooldown attempt, as Nikolai seems to be the only one who can really deal with Kirill's mood swings, and a move to get the duffel bag the baby's in away from him.
In Tropic Thunder, just when it seems like Kirk Lazarus and Alpa Chino are going to get into a brawl, Lazarus hugs Chino and recites the lyrics to the theme song of The Jeffersons. Chino calls him on it, but the situation is still defused.
Though that may be less an example of the hug working and more that they had more pressing problems (namely, they just found out that they're stuck somewhere between Vietnam and Laos, Tugg Speedman has been captured by actual drug dealers, and Jeff Portnoy was starting to show serious signs of withdrawal) to deal with than N-Word Privileges.
Played straight and effectively in Mona Lisa Smile between Giselle (Maggie Gyllenhaal) and Betty (Kirsten Dunst).
Charles Xavier does this to Erik (Magneto) to save his life in X-Men: First Class when he almost drowns himself trying to lift Shaw's sub for the first time. Also comes with liberal aplications of telepathic persuasion since they are both under water at the time.
Literature
Dragonlance has an example of this in The Soulforge, where Caramon does this to keep Raistlin from setting on fire/vaporizing/magic-ing the cultist woman who's denouncing him as a demon. Because this is still before Raistlin completely crossed the Moral Event Horizon, the cool-down hug works.
In The Elenium, Kalten does this to Sephrenia, who has blown her stack (as Sephrenia is a victim of racism all her life, Kalten recognizes her own racism towards the Delphae). It starts with him performing "Elene Magic" on the door by kicking it in, then giving her a hug. She can beat on him all she likes, but Kalten's body is about as hard as his head.
Giles and Buffy share a mutual hug at the end of "Passions", with Giles weeping over his dead lover Jenny Calender, and Buffy crying for him not to throw away his life in a Roaring Rampage of Revenge as "I can't do this alone."
In Power Rangers Zeo, during the "I Know You're In There Somewhere" Fight between the Zeo Rangers and a brainwashed Tommy, Katherine demorphs to try and get him to stop fighting them. He does freeze, and she uses that opportunity to hug him, and hold on to him even when he tries to resist, eventually breaking the spell.
In Power Rangers Time Force, Jen temporarily gets brainwashed and beats the crap out of Wes. He manages to grap her into a hug and refuses to let her go, despite her struggling, until she snaps out of it.
In one episode of Star Trek ("The Changeling"), Kirk gives one of these to Spock after the latter tried to mind meld with a robot.
Near the end arcs of Kamen Rider Kiva, Maya tries to calm down her son, Taiga, with one of these. This is one of the "hugger gets stabbed" subversions, though she doesn't die.
Kamen Rider OOO needs one of these the first time he uses PuToTyranno form. After wiping out both of the monster he was fighting, he starts whaling on Kamen Rider Birth instead. When Hina tries to stop him, he almost hits her, but freezes at the last second. She takes the chance to grab him, which fully snaps him out of it.
Grey's Anatomy: The Asperger-autistic surgeon Virginia Dixon suffers from a overload after being congratulated too much by her colleagues. She then proceeds to actually ask two of the other women to give her a Cooldown Hug, even giving a scientific explanation for why this kind of hug actually works in Real Life.
The X-Files. Scully gives a big one to Mulder after his mother commits suicide.
In the series 4 premiere of The Inspector Lynley Mysteries, Barbara Havers is held hostage at gunpoint - on her first case back after taking a bullet to the stomach in the series 3 finale. She's terrified out of her skin, but largely keeps in control, until she is rescued - at which point she whales the tar out of the hostage-taker until Lynley manages to pull her off. She tries to hit him until it sinks in who's holding her - and then she bursts into tears and cries herself out against Lynley's chest.
Done literally on Heroes when Tracy, in the middle of a panic attack, turns Claire into ice when Claire attempts to calm her down. Poor woman then accidentally snaps off Claire's frozen foot and her panic attack worsens until a newly-healed Claire reassures Tracy that she's fine and the panic attacks subside.
In a first-season episode of Night Court, Judge Harry does this to calm down an angry teen-age runaway played by Michael J. Fox.
Extremely common among tag-team partners who are especially close, usually in consolation for losing a match (i.e. "it's okay, we'll get them next time" or "it's not your fault").
Interestingly enough, the bearhug maneuver is a literal Cooldown Hug. It is one of a list of maneuvers known as a "rest-hold," which looks painful or dangerous, but is actually designed to let the two wrestlers catch their breath and cool down in between bigger power moves.
Real Life
The Cool Down Hug is a bit of Truth in Television as hugging has been proven to have health benefits like reducing blood pressure.
Many hospitals have volunteer "cuddlers" soothe sick infants and children. This troper finds herself most in demand about an hour before the pain medications are dispensed in the NICU.
Tabletop Games
Solar Exalted have a Charm that allows them to enter an Unstoppable Rage. The mental costs for prematurely exiting the stage are significantly reduced if the Solar is restrained by a friend or loved one.
Video Games
In the 9th chapter of Quintessence - The Blighted Venom, Serai was yelling to Reivier about all the trauma she'd received from being imprisoned and force-fed poison all because of Lunair, and Reivier gave her a sudden hug to shut her up. I mean, calm her down.
In the ending of Disgaea 2: Cursed Memories, Adell hugs Rozalin to snap her back to her senses when her memories and persona of her previous life as Overlord Zenon are restored to prevent the possible slaughter that would have ensued because of it.
Also used in Disgaea 3, where Raspberyl gives Mao a cooldown hug to stop him from totally snapping and turning into an Eldritch Abomination. It's subverted in the Bad Ending when the Big Bad, realizing what she's doing, kills her and sends Mao even farther off the deep end.
Nina does this to Ryu in Breath of Fire 4 after Ryu goes berserk and messily slaughters some Empire soldiers, wrecking an abandoned town in the process.
Kohak gives one to Shing in Tales Of Hearts, ending his thitherto escalating Heroic BSOD. She later gives another one to Chalcedny when he's getting frustrated that the operation to turn his Soma into a Cool Ship isn't panning out, making him pay attention to the wishes of his dying comrades, which kickstarts the transformation. (Nothing less from a game where all the Applied Phlebotinum is based on the Power of Friendship.)
A beautiful version of this occurs in Kingdom Hearts, after Sora has become a Heartless Kairi saves him from the darkness by hugging him and telling him to come back to her.
Marona does this in Phantom Bravewhenever Sprout is in danger of succumbing to the darkness and losing control. The last time she does it, it nearly fails, but gives him enough time for a Heroic Sacrifice to prevent his full power being used for the revival of Sulphur.
In Mass Effect 2, Shepard has the option of giving one of these to Tali after she discovers her father's corpse during her loyalty mission.
Shepard can also hug Liara in the DLC Lair of the Shadow Broker, after she's similarly overwhelmed by the resolution of a years-long revenge quest.
Persona 3 has a memorable one in the trip to Yakushima Island, where Yukari Takeba has a breakdown and storms off after the party is shown a video implicating her father in the creation of the shadows they're fighting. The MC is sent off to calm her down and bring her back, and giving her one of these is one option in the ensuing conversation.
Her social link has another instance as well, where the MC gets the option to give her a hug after beating up a bunch of thugs that were harassing her. This one's a subversion, though - she'll be pissed if you select the option to hug her, since she'll see it as being condescending.
Rena tries to do this Keiichi during the "Spirited Away by the Demon" Chapter in Higurashi no Naku Koro ni even as Keiichi readies to bash her head in. He was too far gone for the hug to work but it does play in important role later on as a memory that causes Keiichi to remember the past events. It does work in the "Atonement Chapter" except that their roles are switched.
Persona 4 gives you the option to give Yosuke a hug during his Social Link. And it's around the waist, too.
Web Comics
In Gunnerkrigg Court, Chapter 16, a spectacular hug is used to both figuratively and literally cool down the huggee.
In Homestuck, Karkat calms Gamzee down from a homicidal rampage by patting his face, shoosh-ing him, and then hugging him.
Web Original
Survival of the Fittest's Maxwell Crowe does this to a suicidal Maria Graham after chucking the broken glass shard she was going to do herself in with. This not only functions as a cooldown hug, but also prevents her from just pulling on her explosive collar and killing herself that way.
Western Animation
Kitty Pryde succeeds in calming down Wolverine with this technique in X-Men Evolution.
Used in Futurama, when Fry begins thinking he's a robot after spending time in a robot asylum, Leela tries to get him back to normal by hugging and kissing him. Doesn't work, though.
She didn't try doing his laundry, though.
Oddly, it's being stabbed that brings him back to normal. "Robots don't have blood!"
Used by Fry when he eliminates Lrr from a high stakes poker tournament in Into The Wild Green Yonder. Luckily he read Lrr's mind to realize that all he needed was a hug.
Avatar: The Last Airbender: Katara's embrace in the episode "The Desert" brings Aang out of the Avatar State.
She does this several times, actually. She's basically the walking off switch to his Berserk Button (ironically, her endangerment is usually the berserk button itself).
Which makes sense, actually. Since she's usually the one in danger, her hugging Aang basically tells his subconscious that she's all right, unharmed enough to embrace him, and he doesn't need to go berserk anymore.
In "The Desert," it was Appa's endangerment.
The first time it happened was in the third episode of the whole series: "The Southern Air Temple." It can be considered foreshadowing that they would become a Canon Couple.
Though Katara didn't hug him out of the Avatar State in "The Southern Air Temple." She just talked him out of it, and then when he came back to his senses she hugged him.
In Terra's premiere episode in Teen Titans, Beast Boy brings Terra back down to earth this way. Unfortunately, it's only a temporary solution...
In the Season 2 finale of Ben 10 Alien Force, Gwen transforms into a full Anodite about halfway through. She's certain that she could use her powers to destroy the threat right then and there, but Kevin, rightly fearing that she'd lose her humanity as a result, brings her back to earth with one of these.
In Codename: Kids Next Door, a Friendly Friend Rainbow Monkey Goodbye Hug is the only way to calm down a giant rampaging rainbow monkey. Numbuh Four has to administer one after he pisses one off and it starts destroying the tree house.