And, unlike most characters with Small Name, Big Ego syndrome, he's more or less aware that he doesn't even begin to meet the protagonists' level of strength. He just puts on a good act. When he sees for himself just how freakishly strong his opponent is, he starts panicking on the inside.
The Z fighters do acknowledge a few times that they think it's better Hercule take credit because they don't want the fame and also don't want people to realize just how crazy powerful some of these fights are getting because it'd freak them out.
Then there's Proud Warrior Race Guy, Vegeta. He really does have the juice to justify the ego, but he wants to be THE strongest there is. However, there's a Goku-shaped obstacle in his path. And he can't stand it.
Boss from Mazinger Z and Great Mazinger thinks he is the smartest and biggest Badass ever, the best biker around and a real ladies man, and people would pay for the chance to attend his birthday party (not joke. In episode 20 He tried to have his classmates paying for tickets. And he was shocked when all girls ran away from him screaming). Everyone else knows he is the Butt Monkey. Hence, when The Hero Kouji showed up, showing he was a real Badass, and a better biker and getting all girls -especially Sayaka- crazy over him right away, Boss understandably was not happy, and he constantly tried to showing Kouji up with very little success. He went so far to build his own -goofy-looking- Humongous Mecha using metal scraps and junk from a rubbish dump, and claimed it would replace Mazinger-Z itself. Tip: It did not.
Black☆Star from Soul Eater. He is good at unarmed combat, but he'd have to be a deity before that ego would be even remotely equivalent to his personal power level. He specifically claims to be more powerful than God.
There's also the Equippable Ally Excalibur, who really is as powerful as he says he is. The problem is that his ego trancends his power level- he's so insufferable and downright annoying that no-one can stand to be around him. Tellingly, when he shows up later on in the manga, the gang ends up trying to murder him.
He alone is the main trial for both the Wrath and Pride chapters of the Book of Eibon.
Baraggan's fraccion also fall under this. Like their master, every last one of them is incredibly arrogant and talks a big game, but they're Elite Mooks that go down quite quickly. Also, just about all of them claim to be Baraggan's #1 fraccion at some point, meaning that either Baraggan's favorite flip-flops or they all have a rather inflated opinion of his esteem for them.
Baraggan himself constantly boasts how he's undefeatable and claims to be king and a god, despite being inferior to Aizen. He even isn't the strongest Espada - he is #2. To drive the point home, his Zanpakuto is outright called "Arrogante".
Xcution thought they could take on the Shinigami captain and lieutenants who spent hundreds of years training simply because they gained a piece of Ichigo's Fullbring. Obviously they are quickly defeated with little difficulty.
Toshiori Umesada, one of the 15 20th Seats of the 9th Division (or 20 15th seats, depending on the translation), is highly arrogant and tries to hit on Orihime while she's posing as a new recruit, threatening the similarly disguised Uryu with harsh punishment when he tells him off.
Driscoll Berci is a Mook in the Vandenreich's army, who thinks that a recently acquired power will enable him to successfully kill the Gotei 13's Captain Commander. Made worse is that said power is The bankai of Yamamoto's lieutenant. Who he killed and then gloats about it to Yamamoto. The result? Driscoll has been reduced to a pile of ashes.
Luppi, the guy who replaced Grimmjow as the Sexta Espada for a bit, mocks and looks down on Grimmjow, completely ignorant of how powerful his predecessor was. This culminates to a rather satisfying Humiliation Conga that ends with him being killed by the very Espada he replaced.
Excel♥Saga's eponymous character Excel is extremely confident about her ability to accomplish ACROSS's goal of world domination (and win the heart of Il Palazzo), but fails to make any progress whatsoever in either of those two goals.
In fact, she refuses to acknowledge that Il Palazzo actively dislikes her, sending her falling through the trap door every time.
In the manga their relationship is considerably complex; Il Palazzo's conflicting personalities seem to alternatively hold strange affection towards Excel, or consider her a nuisance. Excel herself is far from stupid, but has overactive imagination, and a habit of acting before thinking. The introduction of Elgala to the story has brought out Excel's responsible, sometimes even tyrannical side (she doesn't know when to quit), and the most recent development has replaced her with a robotic duplicate who is cool, calm and hypercompetent, yet still somehow manages to convey her personality well enough to keep Hyatt and Elgala fooled for several volumes.
This is probably a driving point behind many of the characters in Gash Bell. Gash himself somewhat fairly evaluates his own powers, but Kanchomé always brags about how strong he is although he almost never comes through. Most of the early antagonists that Gash faces are like this too, and end up being rudely awakened by Gash and Kiyomaro.
Late manga spoilers: This takes an interesting turn later on, when Kanchomé finally unlocks his true potential during a training arc. He gains several new spells and becomes one of the most powerful demons remaining in the battle, even surpassing Gash in one of their mock fights. This later leads him to a very near Face-Heel Turn however, and soon afterward he's sniped down by the current Big Bad before he can become a real threat.
Kanaria from Rozen Maiden touts herself as the smartest of all of the Maidens. Too bad all her plans seem to fail miserably.
She can be Sun Tzu mixed with Einstein and it wouldn't help if she's still the second (barely) least mature of the maidens.
Patrick Colasour from Gundam 00, who will proudly boast that he's the champion of mock battles - even as the Gundams take him apart limb by limb. The fact that he still manages to be The Determinator in spite of this, and that he's comic relief that isn't annoying as all get-out, has made him an Ensemble Dark Horse.
By the end of the series he is actually a fairly skilled pilot, though still hopelessly outclassed by the Gundams. He also seems to have gained some humility in the meantime: he no longer boasts about being an awesome pilot, though he does jokingly call himself "invincible" due to his mocking nickname.
Mashymar Cello of Mobile Suit Gundam ZZ started out in this trope, he would remember his awesomeness compared to the plebeians whom he fought and seemed to have multiple dinners with Haman Khan where she would teach him about how he must portray himself and Axis as he was something of a Vanguard, all the while getting his ass handed to him by Judau on a very frequent basis.
The eponymous Nora is obsessed with defeating his leash-holder Kazuma via one of his "Ingenious Plans" (TM). Considering he's attempting this against the series' resident Manipulative Bastard... yeah.
Nor does it help that Nora's attempts at strategy usually have flaws visible to an average five-year-old child. One of his Ingenious Plans (TM) in its entirety: 1)Dig a big hole in the ground 2)Make Kazuma walk into it somehow 3)Drop a big rock on his head. Kazuma shows up while Nora's still digging and points out the plan's low probability of success.
RanmaOneHalf's Tatewaki Kuno, in his own mind, is a bold samurai with two gorgeous loves, both held in foul thrall by the vile enslaver Ranma Saotome. Despite the fact he consistently defeats the foul cur, the villain continues to hold the two girls from his grasp and allow the man to avoid his fate. One day, the vengeance of Heaven will strike Ranma Saotome down, for that vengeance is slow, but sure. In reality, neither of the girls he chases are interested; one because Kuno is a pervert who likes to spout poetic talk, but is ultimately a braggart intent on groping the life out of her, the other for the same reason and because she is in fact a he, a guy with a Gender Bender curse whom Kuno refuses to admit is the same person as his fictitious "pigtailed girl". (Nabiki Tendo once dumped hot water on girl-Ranma while Kuno was holding her.) And whenever Kuno faces Ranma, it's not Black Magic or cheating that causes Kuno to lose, but the simple fact Ranma has traded a tough upbringing for so much skill in Supernatural Martial Arts that Kuno is thoroughly Overshadowed by Awesome.
Takamura of Hajime No Ippo refers to himself as "ore-sama", which basically means "my great self" and generally thinks to be the greatest in every field when he's not (e.g. women and singing.) In terms of strength, he would be this, if it weren't for the fact that he really is as superhumanly strong as he believes himself to be.
There are hints that he knows his flaws quite well. He simply believes that one must believe to be awesome, if he hopes to become awesome.
Apone from Cowa!! considers very highly of himself.
A common trait among One Piece villains, though a few stand out.
Don Krieg gets special mention because even after getting his entire fleet decimated by a single man, a situation he himself barely survived, he still thinks he's the greatest thing ever.
Wapol sees himself as a great king, when he's really just a spoiled brat.
Bellamy's inability to recognize someone tougher than he is led to one of the more satisfying moments in the series.
Post-Time Skip, he got over it. He is noticeably embarrassed about how he was during this time period. Now, surprisingly enough, he and Luffy respect each other.
Where do we even start with Spandam?!
Hordy Jones is this to the point he believes he and a small army of slaves and pill-popping underlings could take on the entire World Government.
Caesar Clown. He's a logia, so sure, he'd be considered extremely powerful...if it weren't for the fact that he's in the New World, where logias have notoriously short lifespans because they don't get that everyone there has haki and thus can actually hit you. It really says a lot when he, the Big Bad of the Punk Hazard arc, is actually the weakest of the three main villains of the arc. This is mainly due to the fact that unlike other logia users in the series, he relies entirely on his devil fruit power, and has no back up.
The title character of Naruto in the early chapters before Character Development kicked in. This is best shown when he asked Iruka why a "great ninja" like himself was in the same group as Sasuke, only to be told that the teams had to be balanced; Sasuke was ranked highest while Naruto was ranked lowest. Although you could say it was almost entirely an act to compensate for feelings of inferiority due spending his entire life being the target of public shaming, hate, and mocking.
The Hidden Star Village, a filler-only village, believe that it can be strong enough to join — or even surpass — the Five Great Shinobi Nations with the power of a chakra meteorite, the "star" in question, and even has the audacity to give its leader the title of "Hoshikage" (a title only given to the leaders of the Five Great Shinobi Nations, who are far beyond the current Hoshikage's Filler Villain level of strength). Unfortunately, this also means that they're willing to make the children of the village train with the "star", thus putting them at risk of health complications and death.
Nora from Witchblade is quite uppity, and stays that way until her demise at the hands of Reina. And she was actually winning that fight too, until she couldn't contain her gloating and trashtalking, then SAT DOWN upon a wounded Reina, completely forgetting that all blade users can make any part of their body a weapon.
Ishizawa in Bakuman。 constantly criticizes manga professionals and thinks that he's a great manga artist, when in fact, he can only draw cutesy sketches of girls. When One Hundred Millionth fails to get a prize from the four chosen for finalists for the Tezuka award, Ishizawa claims that he's better than Mashiro and that Mashiro is dragging Takagi down, despite never having tried anything as ambitious as what Mashiro did, prompting Takagi to punch him. He later gets a series in Chara Kira Magazine, but it's clear that he's nowhere near the main characters' skill.
Naoe Kanetsugu from Sengoku Basara loves to announce his arrival on the battlefield, with a loud declaration of his invincibility, and amazing battle prowess...and always gets swatted away like a common Mook.
Thomas Bester of the Ace Attorney Investigations manga claims to be a great detective, but he is a Clueless Detective comparable to Gumshoe, and he has only worked on infidelity cases and found lost pets before being hired to protect Randolph Miller's prized painting, "Offiicers" from a group of Gentleman Thievesbecause he doesn't know enough about art to recognize the painting as a counterfeit.