Minsc of the Baldur's Gate series — a towering (especially for his homeland), boisterous, but childlike berserker whose solution to any problem is to charge straight into the thick of things with battlecries like "Evil, meet my sword! Sword! Meet! Evil!" and "Buttkicking for goodness!" Any intelligent thoughts he has are attributed to his pet hamster, Boo, who he claims is really a "miniature giant space hamster" (possibly a reference to Spelljammer, the infamous Dungeons & DragonsIN SPACE supplement that actually had Giant Space Hamsters). Many other characters express exasperation with his antics, suggesting he get restorative magic for his head. The player can show exasperation, affection, or a combination of both where he starts off counseling prudence before being ground down to joining in on the festivities by the end. He has proven incredibly popular with players, however, and become somewhat emblematic of the series.
Minsc is played by Jim Cummings, who is for all intents and purposes the voice-acting version of BRIAN BLESSED.
Also from the Baldur's Gate games is Korgan Bloodaxe, essantially the evil equivalent to Minsc. A psychotic Violent Glaswegian dwarf who utters phrases like "This be a grand enough lot! Mayhap I won't be needin' to kill ye all anytime soon!", Korgan sexually harasses other party members (particularly a very virtuous halfling warrior who finds him repulsive), gives terrible advice, and has the lowest charisma score in the game, but supplies some pretty funny dialogue, and, of all potential NPC party members, is easily the best fighter. (At least until Throne Of Bhaal, when Sarevok takes the crown.)
Gibari from the Baten Kaitos series; moreso in the first game (which is the second chronologically), where he's older and has more life experience.
In Battlefield: Bad Company, Haggard fits this role as a redneck obsessed with explosions and gets his group in trouble by charging into (and thus single-handedly invading) a neutral country in pursuit of gold.
And in Chrono Phantasma, we have an evil edition of the trope: Azrael. Dude loves fighting so much it's an addiction and he'd ramble so much on how much he loves fighting, laughing menacingly and loudly all the while... Oh and he ain't lying about him being a super-powered big guy who can pretty much kick your ass even when holding back.
Ulthane the Old One in Darksiders. His idea of getting to know someone involves a brutal rumble — one in which the BFS is completely useless and War needs to use his Super Mode just to hurt him. Then he starts an impromptu contest of "Whack-an-Angel" with War using the remnants of Heaven's forces trying to kill War. That said, Ulthane isn't nearly as simple-minded as a typical Boisterous Bruiser: he's one of the conspirators behind the premature Apocalypse and he is the Ultimate Blacksmith that forged the Infinity+1 Swordof Plot Advancement used to destroy six of the Seven Seals.
Oghren from Dragon Age: Origins fits fairly well too, being a drunken, boisterous sot and, besides Sten, one of the main tank fighters in the game. However, the game somewhat deconstructs the trope, as his tendencies have more or less ruined his life. He somewhat shapes up by the time the expansion rolls around, but only somewhat (or what else would the player character be there for?).
Zell of Final Fantasy VIII. The guy never holds still for a second, and is the party's Bare-Fisted Monk. His personality has, more or less, two settings: Cheerful Loud, and Angry Loud.
Baku, the leader of the Thieves' Guild from Final Fantasy IX. The bounty hunter Lani is a villainous example, even being described as "Boisterous Woman" before we learn her name.
General Zazarg from the Treasures of Aht Urhgan and Wings of the Goddess expansions of Final Fantasy XI lives to be on the battlefield, generally laughing as he lets loose his weapon skills. Not ironically, he is one of the player base's favorite characters.
Fire Emblem games often have one or two of these guys each game (generally an Axe wielder of some kind). Fargus in Fire Emblem (NPC) and Largo in Path of Radiance and Radiant Dawn (NPC in Radiant Dawn) are both good examples, and both Berserkers too.
Other charas that fit the Boisterous Bruiser bill are Dart the Pirate (Fargus's second hand and a playable character) in Fire Emblem and Ross the Journeyman in The Sacred Stones. And yep, both of them can be promoted into Berserkers.
Dozla from Sacred Stones, too—another Berserker. Always laughing, being hammy, and smashing enemy skulls with his trusty axe.
Ross's bruiser traits are In the Blood: his father Garcia is one of these too. In Garcia's case he's the type who fought heartily but later settled down (once Ross was born and his wife Lisa died), yet when Ross joins Eirika's crew, he decides to not be less and joins in too, re-embracing his Boisterous Bruiser side. This is seen in his very badass Famous Last Words that come if he dies in the game ("I have no regrets. This was always my fate!") and his supports with Seth, Gilliam and Dozla. (Though he does use common sense once in a while, like in his supports with Neimi and Ross.)
Not a Berserker, but even more of a Boisterous Bruiser, would be Boyd from Path of Radiance and Radiant Dawn. His interactions with Ike are hilarious, though not quite as much as his interactions with Mist.
Another non-Berserker, the Axefighter/Warrior Bartre. Especially his Rekka no Ken incarnation, where he keeps wanting a rematch with his rival and love interest Karla and his "death" quote has him swearing he'll be back to action ASAP?
FE's most triumphant female example, Vaida!
Vaida: Look at that! Bowmen as far as the eye can see! Mark! Do you have something against me? Heh, you know better than that. Let me tell you, Vaida is not your average wyvern rider! Mark! Sit back and watch me perform!
Fire Emblem Awakening gives us many of them, most notably Basilio, Vaike, Gregor, and Owain. (More meaningful once you remember that Vaike and Gregor can be potential fathers for Owain.) Cynthia might be a mix of this trope and Genki Girl, and she and Owain can potentially fall in love.
Gears of War gives us Private Augustus Cole, NUMBER EIGHTY-THREE...THE COLLLLLLLLLEEEEEE TRAAAAAIIIIINNNNN!!!!
Harvest Moon: Grand Bazaar has two, in the forms of town mayor Felix and carpenter Wilbur.
Khelgar Ironfist from Neverwinter Nights 2. A dwarf who aspires to be a monk because he likes to punch stuff and joins your party because you seem good at getting into fights.
Pang Ya's Uncle Bob. A retired burly policeman who tends to spout out about 'The power of of his heart' and likes to let out hearty laughs here and there... and lovesfried chicken, to the point of humorously abusing his caddie Lola to get fried chicken. Oh and he's proposing Cecilia and is very forward about it.
Another female example: Kanna Kirishima from Sakura Taisen. She often manages to be even manlier than the male protagonist. She also counts in the animated version.
Another protagonist version of the Boisterous Bruiser: Haohmaru from Samurai Shodown. He fights, he loves it, he likes boozing off with his sake, he tends to inspire a lot of the younger generations (like Red-Headed Hero Shizumaru) with his stern advices about battle. In fact, if there is trouble on the land, he's usually wandering around looking for good fights here and there, and either the Big Bad have to hunt him down themselves for their purposes, or he just approach them, ask if they're strong and fight for the sake of good fight, not quite saving the world (that's the job for the heroine Nakoruru).
Soul Series: Arguably, one could call Yoshimitsu a Boisterous Bruiser. In Soul Calibur II, most of his quotes at the beginning of a match are very threatening and menacing. His victory quotes, however, shift between Cloud Cuckoolander and Boisterous Bruiser.
Yoshimitsu:(very loud) I am Yoshimitsu! (much like an aside) Had enough?
Another one is where he simply laughs and claps with his feet.
There aren't many obvious Boisterous Bruisers in Super Robot Wars, but the closest you can get is probably the old, chain-ball swinging, singing Balmar general Baran Doban. Even when he's old, he's still full of hotblood and makes a lot of wise battle insights and becomes the rival of one of the mains Touma Kanou (otherwise Sanger if Touma is not the picked protagonist), indirectly training him... and later makes a Heel-Face Turn. His theme song is practically a theme song that ANY Boisterous Bruiser would love to sing (Ware koso waaaa... Ware koso waaaa... BARAN DOBAN! FIRE! FIRE! FIRE!)
A more accurate Boisterous Bruiser would be Ricardo Silvera of the Masou Kishin part of SRW. Apparently the oldest of the Elemental Lord Heralds, he is pretty jolly, black, pilots the tanking Elemental Lord Zamzeed, which require him to charge to the enemies (though he's more a Genius Bruiser), hangs around with Masaki like a big bro, even training an Arrogant Kung-Fu Guy like Yang Long, and has a crush on Tytti. And likes making up gambles to make things exciting. His silliness aside, he's still a force to be reckoned with. Unfortunately, he got tragically killed in front of Tytti right when their romance has any chance to bloom, due to Taking the Bullet. And probably due to the lack of story depth during the ages of the Classic Timeline, he's largely forgotten after his replacement Mio comes around. Ricardo was Demoted to Extra.
A very, very rare case of a Boisterous Bruiser also being the main protagonist (well, one of two possible at least) is Rand Travis of Super Robot Wars Z. A huge mechanic who has all manner of silly expressions and mannerisms. Also tends to be extremely Hot-Blooded and, much like Baran Doban above, has an incredibly catchytheme song that lets everyone know who just showed up (well... his mecha's name at least... although it does also use his nickname of "The Crusher").
Paul Phoenix from Tekken grows into one, especially after the Time Skip whereas he starts developing a big, hearty attitude of 'Being the Toughest Guy in the Universe'. It helps that he's kinda idiotic and is quite the ham, especially when he's using his deathfist.
"Nothing like a good work out!" "No pain, NO GAIN!" "Any time! Any place! BRING IT ON, YA ALIENS!!!"
A villainous example is Yashiro Nanakase from The King of Fighters. In the side of good we have Ralf Jones, Joe Higashi, Tizoc/Griffon Mask, and Raiden/Big Bear after his Heel-Face Turn.
Try not to laugh when Darunia congratulates Link on a job well done by hitting him on the shoulders and knocking him to the ground.
Mega from Tony Hawk's American Wasteland. An eternally shirtless oil rig worker with a license to handle any kind of heavy machinery and a tendency to ditch his responsibilities to pick up women, Mega has No Indoor Voice and is in perpetual party mode.
Yuugi Hoshiguma from Touhou 11: Subterranean Animism plays this role alongside Hard-Drinking Party Girl. She picks a fight just to "test your strength", all while drinking sake, which not even drop! Afterwards, she just has a big laugh about how much stronger humans are nowadays, and invites you back to party some more.
And before Yuugi, there was Touhou's other oni, the fight-hard-party-harder Suika Ibuki. Not surprisingly, the Reimu+Suika encounter with Yuugi mentions that they used to be best friends.
One of the oddest examples is in Warcraft 3, or more accurately, its expansion. The Pit Lord Hero is a giant centaur demon who initially seems like a standard evil villain. However, his Stop Poking Me quotes show him to actually be a Boisterous Bruiser — with lines like "You know what burns my ass? A flame about this high." and "This situation calls for some... finesse.... GRAAAAAGH!"
Mass Effect: Grunt isn't quite as loud as most examples, defaulting to a growl, but he can walk the walk about as well as any other. It's telling that his individual meet-up in the Citadel DLC for Mass Effect 3 involves him having broken out of hospital (poorly - krogan don't climb very well), gotten drunk, climbed a monument on the Presidium, thrown a bottle of ryncol at a C-Sec police car, then stolen it while it was on fire, crashed it into a noodle joint, and devoured vast amounts of ramen. There's also Ashley, who has no trouble boozing, fighting or both - her meet-up in Citadel is a drinking contest - but merges it with Religious Bruiser, and James, who considers sparring with his commander to be an entirely acceptable way of telling his life story, flirts with everyone female he meets and enjoys a beer or three.
The siblings Bran and Norah from A Dance with Rogues. They are a duo of Barbarians, who are both fun-loving and easy-going when it comes to most things in life. Both quite enjoy hard battles and will sometimes be a little competitive over which of them is a better warrior.
League of Legends has several. Vi is so fight-happy that the main reason she joined Piltovers police force was because it allowed her to beat up criminals legally. Braum is a kindly strongman who always helps those in need, enjoys a good fight and thinks Troublemaker Toss is the best game. Gragas is a drunk giant who only wanders into town for a good drink and a nice tavern brawl.