Lan goes into an angst session roughly once per Mega Man Battle Network game, but he only got hit for it once, by Baryl (awesome human general regardless) in Battle Network 5 after Mega Man gets possessed by the Enemy Within. In Battle Network 6, when the Cyber Beast is possessing Mega Man, Heatman or Aquaman likewise hits him back into control.
Geo follows in his footsteps by doing the exact same thing in the Mega Man Star Force series whenever someone betrays (or appears to) him . Here, the Get Ahold Of Yourself Man comes in the form of being promptly and scathingly chewed out. Doesn't always work though.
Done TONS of times at one point in Tales of Rebirth. After driven berserk and attacking his teammates, Veigue starts blaming Agarte for being behind him being separated from Claire all the time. Until Tytree tells him to come to the beach with him. When Veigue arrives, Tytree gave him a punch in the face, and then Veigue hit back, and so on. So much until there's a mini battle where you control Veigue to punch on Tytree's face, while he'll do the same (no conclusion). Only until the end of the battle and the interference of his friends that Veigue finally gets a hold of himself.
Also in the same game, Annie Barrs has the Force of Rain. Other than weather manipulation, she uses it to calm panicked or angered people down.
In Tales of the Abyss, when Natalia's grief over Asch's death gets the party almost caught in an instant death trap, Jade smacks her right in the face. It's his explanation that calms her down though, so the slap is almost more of a punishment.
In Tales of Legendia this happens twice. First it's Chloe to Senel (who she slaps twice), which allows him to come to a conclusion on what he has to do, and later on it's Shirley to Chloe, which convinces her to not leave the Legacy.
In Final Fantasy IV, when you meet Edward, he's slipped into inconsolable grief over Anna. Rydia, an 8 or so year old girl who lost just as much as Edward, yells at him for being a coward and tells him to stop crying. When Edward twists this around into more self-pity, Cecil backhands him and makes him get ahold of himself. Note that it takes the equivilent of two Brightslaps to get him to calm down. But, you know...
In Edward's defence, he does grow some during the remainder of the game, particularly with the Dark Elf incident (and in the GBA Remake, he's very useful late in the game). The sequel especially makes him a veritableBadass, probably deliberately to compensate for his pathetic nature early in the first game.
Lightning from Final Fantasy XIII likes to hit people early on, especially Snow, who acts like an idiot who can't get over his girlfriend being turned into crystal (and dead in her view). Her punches combo doesn't work on him much. It's Deconstructed when she hits Fang for admitting that she and Vanille are the reason Cocoon's turning people like Serah into l'Cie. Fang points out that doing this doesn't really solve anything; Lightning's just doing it to take out her frustrations, and it doesn't even work that well.
Professor Layton does this to young Clive in The Unwound Futureafter the explosion of the time machine killed his parents, leaving him hysterical.
In Lunar: Silver Star Story (GBA and PSP versions as well,) Mia does this via Armor-Piercing Slap to the exposed face of a Powered Armor clad Nash in order to stop his betrayal and opposition to the party's attempts to fight Ghaleon. Taben also forces the Powered Armor to attack the party after the fact, as Nash tries in vain to stop it and the party is forced to beat it down.
In Threads of Fate, there is a scene in both character's storylines where the Prima Doll has a temporary breakdown about soon fulfilling his purpose and afterward being considered worthless. Rue calmly talks him out of his slump. Mint slaps him and goes off on a rage about how pathetic he sounds.
In Xenogears, Ramsus is a nervous, wangsty, psychotic wreck after failing to defeat Fei on multiple occasions. He is convinced that he is worthless and nobody cares for him. His old war buddy, Citan, slaps him in the face, telling him that he has four young women that care about him, and that by calling himself worthless, he calls them worthless. Citan's slap finally brings Ramsus to his senses, after spending the whole game being obsessed with defeating Fei.
Oddworld: Abe's Exoddus. Your job is to rescue your fellow mudokons, and if one of them is hysterical (generally as a result of laughing gas) you can slap some sense into him. Of course, slapping one that is not hysterical has less than pleasant effects...
In SuikodenII, the main character can catch one of these from—of all people—The Strategist if you, the player, insist on trying to run away from the whole damn war. It's noteworthy because, in the main series, it's one of the few times a strategist ever so much as lifts a hand to anything.
In Suikoden IV, Snowe gets punched in the face by Commander Glen twice. Unfortunately, it doesn't help, as Snowe doesn't understand why — if anything, the second slap makes things worse by making him even more confused and more resentful of Lazlo, as he doesn't get why he gets punished for his attempted Big Damn Heroes moment while Lazlo was praised for seemingly doing the exact same thing.
In Claude's story path in Star Ocean: The Second Story, he does this to Leon after the poor kid assumes everyone was wiped out in the shipwreck, including their friends and his parents, and starts screaming "I wish I were dead!"
In a Variation/Subversion/Whatever, in Super Robot Wars Original Generation, Russel Bergman does this to Katina Tarask, which goes Hot-Blooded and rampaging through enemy fleet like an amateur, emphasizes in HOT although it's just her personality, just overloaded somewhat. He snapped and deliver her a good Brightslap-no-ken for good.
This also happened to Calvina Coulange in Super Robot Wars Judgment (Straight play of Heroic BSOD) in wake of finding out her boyfriend and old pupil was alive, but was actually the bad guys and sent her in a traumatic trance in the past, resulting her going almost batshit to her three female friends. And since Bright Noa was absent... Melissa Mao comes in and delivers the Bright Mao Slap to straight Calvina up.
An iconic scene in Super Robot Wars F. Bright Slaps Shinji Ikari for chickening out to use the EVA due to lots of psychological issues. Shinji responses just like Amuro in the original series: "Not even my father hits me!"
Which is ironic, since in the actual series... almost everyone "except" his father hits him. To count, Toji, Misato, Asuka, and even Rei Ayanami. Maybe they really wanted to make a homage to Mobile Suit Gundam?
Or it had something to do with the fact that everyone in SRW looks up to Bright as a leader. Bright was a better father figure than Gendo without a doubt. It's one of the reasons SRW Shinji becomes so Badass.
In Wild ARMs 3, after your last battle against Maya's party, both Virginia and Maya got into an argument, in which Virginia proclaimed that she can "reach her (Maya)". Being the somewhat spoiled but insecure princess that Maya was, she taunted Virginia over it. Cue the slap. Completely subverted when Maya blocks Virginia's slap with her hand. And then Double Subverted when Virginia simply kept pushing her hand until it touches Maya's cheek.
Virginia: See? I told you I can reach you.
In Resident Evil 3: Nemesis, in one of the various story paths, Carlos starts to panic about not getting out of the city. Jill responds by slapping him, which causes him to run off. Later he has a Big Damn Heroes moment after Nemesis poisons Jill.
Samurai Warriors 's Kanetsugu is unlucky enough to get a corrective punch from Keiji when about to commit seppuku after hearing of Mitsunari's death at Sekigahara. Considering that Keiji is the series' answer to Lu Bu... ow. Ow ow ow.
Metal Gear Solid: Peace Walker features a rare mechanical version of this. Peace Walker begins malfunctioning after Snake's first fight with it, then the Big Bad in a passing helicopter shoots it with a few harmless bullets, which causes it to collect itself and remember it has to travel to Nicaragua.
Steel Battalion: Heavy Armor looks like it'll be using this as a game mechanic, thanks to Kinect. Crewmate interactions are a big part of the game, and slapping them across the face to make them get a hold of themselves is an option.
In Ib, Ib does this to Garry if he gets driven insane by dolls.
In The Crooked Man, Paul and his wife get worried about David and go to look for him. You play as Paul during this segment, and when you find David about to shoot himself, you are given three options, including punching him. And punching him is the only thing that will stop him.
Sumia tries this on Chrom in Fire Emblem Awakening, but she didn't know that she had to slap him with an open palm. Instead, she punches him in the face. But it's the thought that counts... right?