Classic Chinese literature is in love with this trope, probably because the description of a Boisterous Bruiser is a perfect foil to the equally common gentleman scholar archetype:
"The Greatjon", Lord Jon Umber is a giant of a man with a loud and boisterous attitude. When two of his fingers are bitten off by Robb's direwolf, he laughs and becomes Robb's loudest supporter. His son "Smalljon" Umber also qualifies, as do his uncles Mors and Hother. This trope is essentially his family's hat.
Tormund Giantsbane, an incredibly stocky old veteran who spins tales as tall as they are ribald, and still kicks ass alongside the younger raiders.
Strong Belwas, a boisterous pit fighter who thoroughly enjoys boasting of Strong Belwas's prowess at maximum volume while gorging himself on liver and onions. He's doubly awesome for being a eunuch - even taking his bollocks from him can't dampen his spirits!
Thoros of Myr, in the days when he was friends with Robert, said that he became a red priest because it was harder to spot wine spills on red clothes. He was also known for setting his sword on fire and giving as good as he got in melees. This is a priest we're talking about.
Aeron Greyjoy used to be one, an Ironborn (i.e. pseudo-Viking) raider who loved to drink and party and liked to boast that no man could piss longer or farther than him. Then he had a Near-Death Experience that made him become The Fundamentalist, and as a result during the time of the series he has changed into a dour, humorless religious fanatic. It is suggested that he was sexually abused as a boy by his brother Euron, and both his previous recklessness and current fanaticism both stem from his attempts to cope with this trauma.
Aubrey-Maturin: Jack Aubrey is a big, normally cheerful guy who likes food, pretty women, and making dreadful puns. However, as a captain in the British navy during the Napoleonic Wars, he has to work within the system more than is usual for this trope.
The eponymous Villain Protagonist of The Luck of Barry Lyndon is sort of a deconstruction of the trope, as the novel is a pastiche of 18th century novels, which means that Barry could be thought of as "what Tom Jones would be like if he was evil". Barry pursued social advancement through underhanded means (including becoming a Sociopathic Soldier, a cardsharper, and police spy) but describes himself at his prime as being the toast of society and generous and open-hearted, with the flaw of being unable to resist the charm of a beautiful woman. Even assuming this is true, Barry is also a wife-beater and serial adulterer who squandered his wife's fortune and at the time he narrates, is in debtor's prison and in seriously bad health as a result of his earlier hedonism.
The Crew of the Copper-Colored Cupids has a non-binary example in the form of Arganthone. They're not physically The Big Guy, although they are taller than most other characters of their species, but their personality fits the trope description to a tee: fun-loving, full of camaraderie, and loving a scrap or other opportunity to show off their physical strength and fighting prowess.
Death Star gunnery chief Tenn Graneet is this before Despayre and Alderaan — then the guilt sets in.
Gunner's Mate Dennis Silva of USS Walker fits this to a T in Taylor Anderson's Destroyermen series.
Archchancellor Mustrum Ridcully is a straightforward example, with his overbearing outgoing-ness and love for sports and hunting.
Everything about Mustrum Ridcully rasped across his nerves. If people were food, the Bursar would have been one of life's lightly poached eggs, but Mustrum Ridcully was a rich suet pudding with garlic gravy. He spoke as loudly as most people shouted. He stamped instead of walking. He roared around the place, and lost important bits of paper which he then denied he'd ever seen, and shot his crossbow at the wall when he was bored. He was aggressively cheerful. Never sick himself, he tended to the belief that sickness in other people was caused by sloppy thinking.
Monstrous Regiment's Sergeant Jackrum. Also a female example, as it turns out...
The Nac Mac Feegle, an entire race of six inch high drinking, fighting, stealing, drinking-and-fighting, and drinking-and-fighting-and-stealing fairies. Who are nigh indestructible and strong enough to lift a human. In fact, the Feegle method for "snafflin' coobeasties" (stealing cows) involves four Feegles picking it up and walking off with it, and the only reason it takes four of them is that they can't get the cows to balance on one leg.
Tazendra from the Khaavren Romances series. As a Porthos expy, she's a consumate warrior who wears her heart on her sleeve and is never happier than when in battle beside her comrades.
Rider aka Alexander the Great from Fate/Zero novel. Aside from taking books from the local library and walking slowly away ("I am not a thief, I refuse to run"), shoving his Master around all the time, wanting to purchase a couple of stealth bombers for his world conquest, and considering Bill Clinton (the incumbent U.S. president during Fourth Grail War) to be a Worthy Opponent. He also attempts to rally most of the heroes to his banner. Even more blatant in the animaqted version of the novel, where his bruiser looks and demeanor are taken up a notch.
In the Flashman series, Flashman's father Buckley is kind of a darker take on this. As detailed in the spin-off novel Black Ajax and in the main series, Buckley was born into new money and made his name as a Blood Knight war hero (he was nicknamed "Mad Buck") before hitting it off with the movers and shakers in high society and like his son, had a continuing taste for booze and wenches. Along the way, he lost much of his fortune through bad investments, and from Flashman's narration seems to have become a kind of sour, bad tempered man. Fairly early in the Flashman books, his alcoholism got so bad that he ended up with Delirium tremens and was placed in an asylum and is forgotten by his son. While there, Buckley enjoys smuggled liquor and the occasional prostitute on the sly, but is mostly a drunken wreck whose only real consolation is that his son has become successful and (he thinks) a genuine hero. Flashman also runs into plenty of examples in his army career, but usually hates them because he thinks that their gung-ho attitude endangers him.
Forgotten Realms (Starlight and Shadows) trilogy by Elaine Cunningham gives us "genial ship's captain with a taste for recreational mayhem", pirate Hrolf 'the Unruly',.
Rocky, talking gorilla, best friend of J!m and rock and roller in Go, Mutants!.
Twilight the great gray owl from Guardians of Ga'Hoole. He's the biggest and most powerful of the Chaw of Chaws, a great Warrior Poet... and fights for justice!
Rubeus Hagrid from the Harry Potter series, although his softer side is played up right from the start (but it's still a very bad idea to anger him). Played by the aforementioned Robbie Coltrane in the movies. In fact, Coltrane was the very first actor cast.
Ma Joong, Judge Dee's former highwayman enforcer, expert boxer and cheerful womanizer.
Randle Patrick McMurphy from One Flew Over the Cuckoo's Nest was designed to be this trope. In fact, his Establishing Character Moment was walking into the ward laughing and immediately introducing himself to everyone there. The entire book is about how important this type of person is, as he helps the other patients in the ward learn how to stand up for themselves again.
The Chronicles of Prydain: King Smoit is loud, booming, and not at all afraid of getting into a scuffle or six.
Prince Fencewallker of Tailchaser's Song is described as being "Full of rough good humor, and an affection for sudden, surprising shoves that sent companions tumbling."
Alexandre-Benoît Bérurier in the French police series San-Antonio is another textbook example.
Strike the Zither: Lotus, a warrior who loves nothing more than drinking and fighting. She consistently gets on the nerves of the calm strategist Zephyr.
Alcibiades, from Plato's Symposium. As far as can be known from the sources regarding his character and actions, he was a real life example of the trope as well.
Firebead in George MacDonald Fraser's The Pyrates is a (semi-)villainous example. He hates honest men, honest work and civilization; he loves whoring, drinking and fighting. And setting his beard on fire.
Queen in The Thin Red Line is a big, fun-loving guy, but he is also a darker version of the trope since a lot of the laughs he elicits are due to Black Comedy.
Viridovix from The Videssos Cycle: a Celtic chieftain before his entrance to Videssos, he's a charming man, a strong warrior, enjoys battle, and carries one of the two primary Macguffins of the series, and in many respects is a rival to the protagonist.
King Arthur's cousin Culhwch in The Warlord Chronicles is a textbook example of this trope. Bernard Cornwell seems to think Boisterous Bruisers make good sidekicks. He's not wrong. Also, Owain from the first book is a much less moral and more mercenary example.
On the subject of Arthur, in any given work featuring him and his usual cronies, his nephew Gawain is fairly likely to fit the trope. In works set early in Arthur's reign, Gawain is generally the greatest of Arthur's knights, and even in later periods when another knight surpasses him in skill or piety or some other quality, he's usually still the strongest.
Squire Western of The History of Tom Jones, A Foundling is one of these, a boisterous guy who likes booze and bloody roast beef and loves to crack dirty jokes. Played in the A&E version by BRIAN BLESSED himself.
Lord Raoul from Tamora Pierce's Protector of the Small is a good example of this, although his intellectual prowess is sharper than a number of examples listed.
Emmett Cullen from Twilight could count — he's definitely The Big Guy of the family, literally and figuratively, and he's an all around jovial and jolly guy to be around.
Subverted by Big Tom from the Warlock of Gramarye series by Christopher Stasheff: while he appears to embody this trope, it turns out that he is in fact highly educated and possesses a doctorate in theology.
Alex Kilgour, the title character's wisecracking heavy-worlder right-hand man from Sten. It's even pointed out in the books that he was known on their Mantis (Special Forces) team as a 'brightener.'
The Crimson Shadow: Oliver is one, though unlike most examples, he's a little guy (a halfling, actually). He's always ready with a joke, loves to fight, and boasts often of his exploits. A lot of the last are doubtful, but he really does have genuine skill with sword-fighting, having trained at an elite school in his homeland, and gives Luthien a number of tips.
