Android Sixteen falls into the Gentle Giant category, as while previously enjoying nature and taking on the role of a Friendly Enemy he does a Heel–Face Turn and subsequently attempts to destroy Cell, who is threatening the peace of the planet.
Tien and Piccolo, after they stop beingtoken evil teammates, fill this role, respectively. Both are Goku's strongest non-evil ally at the time, coming the closest to matching The Hero 's battle prowess.
Goku fit this role in the Cell and parts of the Buu Saga since the focus shifted towards Gohan being the main hero. Toriyama, however, felt that Gohan wasn't suited for the role and shifted it back to Goku during the final arc.
Slayers: Idiot Hero Gourry Gabriev fits this trope to a T, being a powerful swordsman with no magical abilities.
AKIRA has a rare female example in Chiyoko—she's well over six feet tall and carries a heavy machine gun everywhere. When she runs out of bullets, she'll happily bludgeon her enemies to death with a bazooka rocket. No bazooka, mind—just the rocket, used as a club.
Sanji from One Piece is the big guy for the Strawhat Pirates.
Ironically (given his size), Hiei could actually be seen as the big guy, with Kuwabara as more The Lancer. Hiei is often portrayed as the character most proficient at combat, and spends more time training and honing his skills than anyone else in the cast. What he lacks in size, he makes up for in sheer power (as his Dragon of the Darkness Flame attack shows), agility, and swordsmanship. Personality-wise, he fits Types 1 and 4 (though Type 3 comes out on occasion when he converses with Kurama, Yukina, and Yusuke).
Black☆Star from Soul Eater, while not exactly big in size, does rely on force.
Millie Thompson from Trigun is an example of the "Giantess" version of the Big Girl.
Rune Soldier Louie has Jeanie, who towers over her teammates and has a muscular physique that'd put most men to shame. She also has the type of strength you'd expect and could even trade punches with Louie when the two of them fought near the end of episode 12 (seen at 13:23-16:57, here).
From Beet the Vandel Buster: Bluezam, the wielder of the Boltic Axe in the hunting group 'The Zenon Warriors'. His status as 'the big guy' is emphasized when Beet is seen wielding the Boltic Axe for the first time. The weapon is so large and unwieldy (for the small Beet) that misses in combat tend to destroy walls, rocks and any teammates who might be nearby.
Milfa was shaping up to be this on Beet's team. She fights Vandels barehanded, throws powerful lightening attacks and is the highest level out of the Five-Man Band.
Sailor Jupiter/Makoto Kino fits the second form. She is the tallest of the Inner Senshi, is the strongest physically, practices kung-fu in the anime, and is most likely to opt to fight with her bare hands and feet instead of magic. Also, she tends to be the go-to Senshi for an enemy to overpower when they're to be established as a threat. However, she is a sweet, friendly girl who likes cooking, gardening, and dressing up.
Sailor Uranus/Haruka Tenoh fits the first form of The Big Guy for the Outer Senshi. She is the second tallest of all Senshi (towering over Makoto), is a competitive racer, is athletic enough to dominate Jupiter in a brawl, and like Jupiter, likes physical fighting just as much as using her Senshi powers. She is a gruff, cynical tomboy who constantly berates Usagi (and to a lesser extent, all of the Inners) for their idealism.
If anyone from Gunsmith Cats fit this trope, it'd be Bean. He leans towards a Class 2, given his soft spot for children.
Guts, the protagonist of Berserk, is a Class 1 Big Guy who is very much The Berserker, particularly after the Eclipse. Pippin from the Band of the Hawk during the Golden Age arc was a Class 2.
Satella in Chrono Crusade serves this role in the team (although Chrono probably would if his powers weren't normally sealed). Combining Class 1 with the Amazonian Beauty, Satella is the most powerful of the team because she's the most experienced, and a "jewel witch" that uses gems to summon servants to fight for her—including a large, knight-shaped crystal golem.
G-5 - Ryu "the Owl" Nakanishi from Gatchaman. Of the Class 2 variety. Though he actually isn't very tall, he is quite bulky and very strong (but not inhumanly so). He regularly employs sumo-like techniques in his fighting style.
Darker Than Black has several, generally one in each of its various organizations. On Hei's team, Huang is a quite good Class 3 example, being a gruff ex-cop who is a skilled sniper. On the Japanese police, Kirihara's second-in-command Saitou, who is a friendly, kind of bumbling guy who occasionally shows an impressive skills with firearms. Amagiri, Amber's Dragon has a Class 3 personality, being a generally pretty quiet guy who doesn't hurt people when he doesn't have to. When he does though, he can crush a person like an egg with his concussive force powers. Genma in the second season seems like a Class 4 at first, but he's really The Brute and a psycho.
The bad guys have a Big Guy of their own in Sloth, who even dwarfs Major Armstrong.
With the arrival of Saito in the Kyoto Arc, Sanosuke from Rurouni Kenshin becomes this. He's still considered Kenshin's partner in battle, but is a lot more power based than either Kenshin or Saito.
Mobile Fighter G Gundam has Argo Gulskii, a Class 5. He pilots the Bolt Gundam, a heavily armored machine employing brute strength, but uses that strength creatively and in one episode immediately sees through the enemy's diversion.
Kuroko no Basuke: Has Kagami Taiga, Kosuke Wakamatsu, Daiki Aomine and Tsutomu Iwamura
Yowamushi Pedal: First year; Naruko Shoukichi (Onoda's friend) and former cyclist; Toji Kanzaki.
Rokka: Braves of the Six Flowers: Goldof, leader of the Blackhorn Knights and Nashetania's loyal guard. He is a Gentle Giant but can and will kick your butt with his giant spear...but despite that, if Nashetania were to betray him, he would not kick hers.
Yasutora "Chad" Sado from Bleach is the resident Big Guy of Ichigo's crew, primarily relying on his strength and his Power Fist to win fights, and having the most destructive power of the group.