The human race in The Animatrix short The Second Renaissance. All the machines wanted was peace with the humans, but no, machines are just tools that exist to serve humanity, so the machines make their own society but their economy becomes better then theirs. The humans can't have the "tools" making them look bad, so they decide that it would be a good idea to go to war with them.
That said, the machines themselves aren't portrayed that much better. The first "rebel", B1-66ER, brutally murdered not only his owner, but also his dogs and the mechanic very violently, the machines only resorted to an attempt to a peaceful solution when the commercial blockade began, and afterwards didn't bother to try to justify their increasingly more insane war attrocities, let alone their human vivissection.
Prussia: He calls himself 'Ore-sama' (a narcissistic way of saying 'I' in Japanese). He likes to remind himself how awesome he is, and he tells the others to praise him, and bow down to him. It's also known that he kept diaries since he was formed; all of the entries start with "I am so cool," "I was so cool today," or something along those lines. The English translations of various comics have him refer to/introduce himself as "the awesome me," which has become a frequent phrase in fanon.
America, to his credit, does genuinely try to be helpful and friendly to other nations. However, being the Attention Whore and Man Child that he is, he also has a tendency to exuberantly shove himself into the center of attention. His "battle plan" for the Allied Forces is this in spades: in the original versions, they're only there to serve as his backup, and in the dub, they're only there to serve as Cannon Fodder, while America Saves the Day.
France, being the Drama Queen and dandy extraordinaire that he is, has moments of this as well. At one point, he refers to the rest of the cast as "insignificant characters."
Griffith did initially seem to care at least a bit about his group of mercenaries, particularly Casca and Guts, and generally treats the other members kindly enough, but eventually, achieving his dream is the only thing he cares about, so much so that he sacrifices the entire Band of the Hawk to a group of demons, in order to become one himself. The first thing he does with his newfound power and body is rape Casca in front of Guts, presumably just to spite him for daring to leave him. Never mind that Guts had fairly good reasons for doing so, Griffith just didn't understand, or if he did, didn't care.
Earlier when Guts tried to leave Griffith's service, how did Griffith respond? Did he thank Guts for his hard work and wish him good luck? Nope. Griffith was so incensed that Guts would want to leave him that he tried to kill Guts. Guts was the closest thing Griffith had to a real friend.
Lelouch from Code Geass suffers this to an extent; rather than himself, however, he tends to place more value on the lives and desires of people he cares about (like his friends, but especiallyhis little sister). Rather infamously, at the end of the first season, he completely abandons La Résistance because his sister is being held hostage, and in his absence they collapse. However, one important point often forgotten is that he grows out of it. Early to mid season 2, he accepts that the fight is about more than Nunnally, and prioritizes the world's freedom first. In spite of some escalating issues, he manages to spearhead the creation of the UFN, an international body of nations against the Britannian Empire formed to create a legitimate resistance. What happens afterwards is more complex and can be interpreted in a couple of different ways, as both a radical extension and/or subversion of the above. When Lelouch is finally taken past the Despair Event Horizon due to a series of unfortunate circumstances, he stops caring about his own life and decides to use his death wish as the trigger that would enable the culmination of his plan to change the world, the Zero Requiem, which makes himself a Silent Scapegoat in the eyes of history.In a short story taking place during one of the late in-series gaps, he notes there were other options available but that they went against his mindset, which makes his final resolution both selfish and selfless, depending on your point of view.
A Cruel God Reigns: Greg. He does what he does to Jeremy because he thinks that he has every right. Why not? Everyone loves him...
Vegeta from Dragon Ball Z certainly fits, specifically around the Androids/Cell arc, where he's so confident that he's invincible and could easily beat Cell no matter how strong he gets that he lets Cell absorb Android 18 and become perfect purely to stroke his own ego... only to lose pathetically against Perfect Cell, who even mocks him for his arrogance and selfishness. He returns to it again in the Buu Saga, where he forsakes his wife and son and allows Babidi to turn him into a Majin just so he could have the power to beat Goku; in this case, Vegeta was fully aware that doing so would unleash Majin Buu upon the world, but he was so fixated on being better than Goku that he didn't care.
The absolute king of this trope in Dragon Ball, however, is Frieza. He is literally the only thing he cares about, to the point that he is willing to sacrifice his home universe by fighting for a different one during the Tournament of Power if it gets him what he wants.
Jose Porla, the guildmaster of Phantom Lord from Fairy Tail. He decides that no other guild is allowed to be as strong, or heaven forbid stronger than his, and sees Fairy Tail growing in strength as an insult. He decides they must be destroyed, and goes about it in the most sadistic way possible by attacking three unsuspecting members to goad them into attacking, nearly killing their master to break down their spirits, kidnapping their newest member (which admittedly he was hired to do by said member's father), and then when she is rescued goes to destroy the guild if they don't give her back, knowing full-well that Fairy Tail is a guild of Nakama and will never do it. All of this because of HIS EGO!
The Homunculus Greed is, well, the embodiment of Greed, and therefore wants everything for himself and anything he does is for the sake of either himself or his own gain. He hates Wrath for killing his underlings - not because he particularly cares about them, but because they're his. However, he doesn't treat his underlings as expendable and he's about as humane as could be hoped for as an Artificial Human formed from the evil impulses of an Eldritch Abomination. Later, when a reborn and amnesiac Greed unknowingly kills off the last of them, he regains the memories of his old manifestation, as well as the memory of his former underlings and what happened to them, triggering him into an explosive rage at the fact that his "possessions" were taken away from him. This incident is also the cause of his Heel–Face Turn and transformation into a Noble Demon by the end. He later subverts this when someone calls him out on his supposed 'desires', causing him to admit that all he really wanted were friends. In truth, his greed encompasses the need to have friends. He's just greedy like that.
Envy also falls into a version of this, given that it loves to sadistically harm people, but complains about others not fighting fair on the occasions where they get the better of it. For instance, when Roy Mustang and Riza Hawkeye fail to be impressed with Envy's Shapeshifter Guilt Trip, Envy scolds them for their lack of humanity, because they didn't hesitate before shooting their friends.
Pride shows some of this too. He berates Greed for betraying their "family" and then shortly afterward devours his "brother", Gluttony to absorb his powers while Gluttony cries out in agony.
Oddly enough, Zolf J. Kimblee seems to be a notable aversion of this. Despite being a sociopath, he has a remarkable appreciation for other humans. He sees the people that he kills as just that - people - and sees it as his duty to remember all of their faces. He even makes the effort to save Edward Elric near the end because he'd decided that Edward was superior to Pride, who was trying to use him as a vessel after discussing how inferior humans were. Still a sociopath, but surprisingly focused on others around him.
The primary antagonist of the 2003 anime version can be seen as an example as well. Despite trying to pass herself off as a Well-Intentioned Extremist, it is pretty obvious that Dante is only motivated by her own selfish desires. She has ruined countless lives for the sake of her own immortality and tries to justify it by saying that humans should accept that life isn't fair. Once her plans backfire in her face, she throws a hissy fit.
The anime version of Envy is as bad or worse than its original counterpart. A Beta Test Baddie and textbook case of The Resenter, he'll kill anyone he meets for daring to have it better than he does.
Mayo Sakaki from Fushigi Yuugi: Eikoden. Miaka was bratty and immature, yeah, but at least she had good intentions; Mayo was a pure, rotten self-centered bitch.
Gankutsuou: Although Baron Julian Danglars maintains that he only wants his daughter to be happy and that everything he does is for her sake, he clearly cares more about money and himself rather than his own daughter (or wife for that matter).
Honey Hunt has the protagonists (Yura) famous celebrity parents, Yukari and Takayuki. But especially Yukari who is hardly at home for her daughter and is very selfish. In all of her interviews she lies and says that she and Yura are close and spend much time together as a result of Takayuki being abroad so often, when in reality she is just as cold and distant as Takayuki. Also, immediately after showing up after being away from home for about a half a month, Yukari coldly announces that she and Takayuki are getting divorced before telling Yura that she can go wherever she wants. Also, while Takayuki was having an affair she was having one of her own with Yura's neighbor and crush, Shinsuke. When Yura finds out about the affair Yukari's response is to smile, declare that Shinsuke likes her more than Yura, that she's going to allow Shinsuke to live with her in a mansion she had bought, and that Takayuki had a baby with his mistress so neither he nor Yukari will have time to look after Yura anymore. She then demands that Yura leave the house. It's eventually revealed that she and her husband were only together for the sake of their careers and their images, they didn't love each other. The two of them even agreed on a rule with each other that they would stay married as long as they hide their own adulterous affairs. After she decided to divorce Takayuki because the press found out about his affair, however, it is shown that she has no intentions of taking care of Yura and merely cared about repairing her image in the eyes of the public because they had originally thought she was the "ideal mom". Seriously, poor kid.
Ryoki Tachibana from the manga Hot Gimmick. Although he's obsessed with Hatsumi he's usually far too up himself to ever do anything as pointless as care about her. His response to most of her (considerable) problems is "forget it, just focus on me".
When May Wong walks into Kaleido Stage in the second season, she's amazed and pissed off that no one but her sees how wonderful and perfect she is and haven't handed her every lead roll over the current star who worked for everything she has. She gets better, but she'll really make you want to jam your thumbs in your eyes for about a dozen episodes.
Leon is the same, in a subtler and colder way. He believes his skill makes him so important he demands script changes and special treatment at the drop of a hat. It turns out he even puts his costars out of commission when he decides they are not worthy of being his partner. If he deems them unworthy, there's no point in them ever continuing to perform. And he actually does that to May herself, seriously injuring her shoulder... which is actually the first step to her Character Development and change of attitude. It'll take Leon WAY more time to defrost.But since he's a white haired pretty boy, fangirls aren't half as hard on him as they are on May.
Hibari from Katekyo Hitman Reborn! does not care about other peole (at least he won't admit that if he does) and is more focused about how to beat the crap out of other people because they are crowding or annoy him or because he just want to.
Ryuko from Kill la Kill suffers from this trope to an extent. Having grown up with no love from a parent or friend caused her to develop a self-centered mindset, especially when dealing with her revenge quest. The negative effects of this are shown when it's revealed that she's part-Life Fiber. She completely ignores what others think of her (including Senketsu, who's essentially a bird of a feather to her regarding her dilemma), and is so consumed by her negative opinion of herself that she decides to face the Big Bad all by herself, with verybadresults.
Claw from Kimba the White Lion. The main reason he wants to take over The Kingdom of the White Lions is so that he could do whatever he wants.
From Liar Game, Yokoya only cared about benefitting himself. He doesn't care if his own teammates who allied with him get money or if they go further into debt.
Although it seems doubtful, the Hückebein family in Magical Record Lyrical Nanoha Force also show these symptoms. Every single page in each chapter, they seemed to indicate to readers that they were superior in every way. So far as they dominate the whole story.
Miyu Greer and Alyssa Searrs from Mai Hi ME have a variation of this, in that they believe it's all about them: they believe that no bond could possibly be stronger than the one they share with each other, and as a consequence of this, they have no problem with hurting other people for the sake of their syndicate's Utopia Justifies the Means plans. When they are the ones being wronged, though, they lament the injustice of it all.
Nao is also purely motivated by self-interest in both the manga and anime. In the anime, she uses her powers to exact revenge on men for the robbery that killed her father and left her mother comatose, and later, on those who she blames for her losing her eye. In the manga, she mainly goes along with the fight against the Orphans so that she can break rules without being held accountable.
From the follow-up series, Mai-Otome, Tomoe epitomizes this. Her main motivation for committing evil deeds is in order to get closer to her long-time crush, only willing to follow the rules (apart from facilitating attempted rape and murder) so long as she benefits from it. Even when she's offered to become one of the Big Bad's soldiers, she isn't as much interested in serving him as she is in using her new-found abilities to impress Shizuru and crush her rivals.
Mazinger Z: Why Big Bad Dr. Hell wants to Take Over the World? Because when HE was a child and young man everybody abused HIM and nobody respected HIM or acknowledged HIS genius, and HE considers the whole humanity must pay for it -even though most of the people tormented him when he was a child would be old or dead when the series began- and kneel before HIM. Also, when he attended college, he befriended a Japanese exchange student called Juzo Kabuto (who looooong after would create Mazinger-Z) and fell in love with another exchange student named Yumiko. When he found out they were engaged, he convinced himself they pretended to be his friends while planning to backstab him. He genuinely believed EVERYBODY was out to get him (long before they WERE).
My Bride Is a Mermaid: Lunar becomes convinced that Sun only got engaged to Nagasumi to rub that fact in her face, disregarding the fact that they're only getting married so that one of them wouldn't have to be killed for exposing the existence of merpeople to a human.
The first example we see is Orochimaru, one of the most powerful ninja in the first half of the series. To him, everything is about furthering his own goals and he will sacrifice anything for it. He adopts orphans, manipulates them, experiments on them and eventually has them killed when they're of no more use to him. Anything that he doesn't value is worthless unless it gets in his way, in which case he destroys it. If something goes wrong, you can expect that Orochimaru probably had a hand in it out of pure selfishness and dickery.
This trope defines everything that's necessary to know about the Uchiha clan in general. The clan's founder started a generations long feud when his brother was chosen to be the successor of the Sage of Six Paths over him. For a few select examples:
Madara is an even bigger case than Orochimaru and probably the biggest example in the series. Which, considering he was once their Head and among the most influential in their history (founding Konoha alongside Hashirama) means he set the standard for them during the time of the Hidden Villages. First he was mad because his clan wanted to stop fighting the Senju clan (because he, you see, believed that it would render the sacrifices of countless Uchiha - including his own brother senselessly). Then when he's still agreed to a truce he throw a tantrum because he didn't get to be Hokage (because he, you see, believed that if the first Hokage will Hashirama it would mean that the the second will Tobirama and Uchiha clan the end will come). Then he was displeased by that Uchiha clan did not listen to his warning and Madara in his turn just decided to forget about them. Then he decided to read a secret tablet about the history of the world revealing that the war-torn world they lived in had always been that way and that even attempt his ancestor to use the power of God to put an end to all wars didn't work. After this Madara in his turn himself decided try to get the power of God and use it to put an end to all wars because he apparently believed that he will succeed where his predecessor failed. Herewith he decided to completely ignore security and life all those who stand in his way including of his best friend, of his own clan, of his own village and in principle all people living on the planet.
Then, there's Sasuke, relative of the latter and student of the former. He takes the cake by outright admitting that he's being childish and impulsive... and doesn't care. Despite his reputation, he actually starts out as a lesser example. While he does abandon Konoha in favor of Orochimaru because he doesn't think he'll be able to become strong enough to kill Itachi while there, he doesn't kill Naruto when he has the chance, even though doing so would have unlocked the Mangekyo Sharingan. After Shippuden starts, he starts heading downhill and when he finally meets up with Itachi and after Itachi's death, he takes a flying leap off the slippery slope. He immediately sacrifices his teammates when it becomes inconvenient to save them, attacks the Kage Summit and tries to kill everyone there in his effort to get to Danzo, and then once Danzo is dead decides to kill every single person in Konoha because he believes that the Uchihas (who it turns out were wiped out to preempt them starting a civil war) were wronged in some way and that everyone in Konoha is mocking them by simply existing. This reaches a head by the War arc. He decides to follow Itachi's footsteps and protect Konoha. His method of doing so is to kill the current Kage and use the tailed beasts to start a revolution which he believes will save the world by doing away with the old system and no matter what the others will think because he knows better what is best for the world and how to make this world a better place. In short, not only has his selfishness been turned Up to Eleven, he's gone absolutely nuts. Kishimoto confirmed that Sasuke is "very self-centered, only concerned with himself".
This quality is a Fatal Flaw older brother Sasuke: Itachi. He believed that he (and he alone) could fix everything, every time. He admitted this after his death. This led to his decision sacrificed his family, his home, his reputation, basically everything, to protect the Leaf and avert the civil war his family's coup would have caused. But also this the reason why he let Sasuke live and Mind Raped Sasuke repeatedly by forcing him to repeatedly relive the gruesome deaths of their parents, forcing him to grow up into a bitter obsessive lunatic all so that Itachi could die on his own terms: At Sasuke's hands (which he didn't in the end, making all of his efforts totally meaningless).
And last but certainly not least. Tobiaka Obito, has shades of this. Tobi's a notable case in that he was Obito, one of the best of the Uchiha personality wise and, along with Shisui, one of the few who didn't suffer from this. However, Rin's death served as his Despair Event Horizon, and subsequently brought out all the Uchiha traits he used to lack, including this and the talent that Uchiha Clan ninja tend to have. Now, he claims he's completing his Assimilation Plot in order to create a better world but the truth is that he doesn't care about this world anymore, due to his apparent thought of Crapsack World status, and thinks that everybody will be resurrected and happy in his dream world. What he most of all wants in the end this to live in his ideal world where Rin and the other his teammates are alive but, also he doesn't care for the remaining living members of his team in this world and also he refuses to acknowledge Rin's sacrifice because believes that "this the world" forced her to go on this the sacrifice and that "this the world" has turned the remaining members of his team including him in the "trash" and instead believes that the only place where all can be good this in world illusions.
Without a doubt, this Donquixote Doflamingo's most defining trait. His desire to "destroy this world" stems from the resentment and anger over the fact that he was unable to return to Mariejois, per his "birthright" as a Celestial Dragon, one of the descendants of the twenty kings that created the World Government after his father took their family away from there. His lack of empathy and self-centerdness is so great that he outright shouts at Luffy and Law that their tragic pasts (in which they both lost loved ones) are nothing compared to the life he's led (in which he killed his loved ones), showing no sympathy for everything they've lost as well.
Even one of his most redeeming traits highlights his selfishness. Doflamingo has an incredible fondness for his highest officers, calling them his family, and flies into a rage if anyone so much as slights them. Yet he is so self-centered that he won't hesitate to demand personal sacrifices from them, including giving up their lives, if it meant furthering his goals. Granted, many of them would do it, but essentially Doflamingo only cares about them because they are willing to do anything for him. As an example, upon learning that Trafalgar Law had eaten the Op-Op Fruit as a child, Doflamingo planned to try to teach Law that it was important to die for him and make Law use a power that would grant Doflamingo immortality at the cost of Law's life.
Kirino from Oreimo seems to believe that the world revolve around her navel, and that's it's up to others to make it so she gets her way, and that they should be berated about it and thankful to her.
Tamaki is very self centered but he's also insanely interested in EVERYONE because they're different from him. That's what makes him closer to a Messianic Archetype. While half is interest in other's lives come from how he finds it fascinating, he also does it with rather pure intentions. (Like his love of pleasing ladies comes from his self image of a prince, but a prince wants to make ladies happy...it's rather circular)
Sayaka from Princess Princess. It doesn't matter to her if she ends up hurting people in the process or if Tooru doesn't feel that same about her. It's all about her and having Tooru for herself. Thankfully, she gets better.
Souma and Sakurako from Sakura Gari. Initially, it seems as if It's All About Me with them, and that they'll do whatever it takes to get what they want even if they hurt/kill others in the process. They get better, somewhat, by the end though.
Lina Inverse in most incarnations of Slayers; while she does take the time to help others (and save the lives of many if necessary), the true reason she often falls into grand adventures in the first place is so she can acquire money among other things, and will manipulate/leave behind her companions for her own sake. Her greed is immense - in one Non-Serial Movie, she destroys a restaurant because she loses the sardine they offered her - which she stepped on herself.
His reasons have more meaning than Lina's do, but Zelgadis also slips into this at times in regards to changing his body back to normal.
Soul Eater has Black*Star, who frequently proclaims himself the hero (it's Badass Bookworm Maka), insists upon the whole cast/plot relying upon him (long before he had the skill to back up such a claim), and justifies any deviation from this (e.g. 'allowing' Maka to fight Crona for him) as him simply being a 'great' man and warrior. His single-minded attitude recently allowed him his own heroic piece; being the one to rescue Kid from the Book of Eibon. In a different kind of series, he would be the hero.
In Spirited Away, after Chihiro has pried a job out of Yubaba, over relentless and vicious attempts to intimidate her out of asking, Yubaba laments her promise to employ anyone who asked for a job: it makes her have to be so nice all the time, and she really hates that.
Star Driver has Head, the resident Big Bad. His endgame plan meant that he would use the series' most powerful mecha to travel through time. For this to happen, said mecha must use all live on Earth as its power source, resulting in the death of every living being. Does he care? Of course not. Though not that he's much better on his way towards this end plan, manipulating (read: sleeping with) people left and right and throwing them away once he becomes bored of them or they stop being useful to him.
In The World God Only Knows, Keima comes to the conclusion that the girls he's seeking are not just girls he's met in the past, but specifically those closest to him (a childhood friend and girls in the same class and/or grade level). He goes so far as to suggest that finding these girls is the reason he was chosen as a spirit hunter in the first place. Narcissistic as it sounds, however, events have so far supported his hypothesis.
Unless your name is Mokuba, don't expect Seto Kaiba to show you anything other than cold indifference. Unless Mokuba has been kidnapped, Kaiba has shown he has no problem at all standing back and watching Yugi and company save the world while he mutters insults under his breath.
In the second half of Magic Knight Rayearth, Princess Aska of Fahren isn't trying to solve a pollution crisis, like Autozam, or reduce overcrowding in her country, like Chizeta. She just wants to take over Cephiro as though it's a giant toy that someone put in the window.
In Rurouni Kenshin, Enishi Yukashiro was unintentionally spoiled from a young age by his elder sister Tomoe, who began to view that he deserved her attention solely. Upon meeting Kenshin, he immediately has a grudge, bites him and badmouths him. When Tomoe sacrifices herself to save Kenshin (giving him his scar by accident), Enishi views this as a murder and devotes the rest of his life into ruining Kenshin's life out of spite. To that end he murders an innocent family who took him in since he hated their happiness, set up the largest arms dealing ring in Asia, gave a fricking battleship to Makoto Shishio, and finally gathered a bunch of warriors who also had a grudge against Kenshin.
Elmer C. Albatross of Baccano! has this mentality, although it isn't really apparent until you get to know the guy. He's obsessed with happiness and tries to make everyone he knows smile. Not because he cares about them, no. It's entirely for his own benefit. He's just a sociopath who really really likes smiles.
Bleach has Yhwach, the man whose entire being seems to revolve around giving pieces of himself to others only to take everything they have to offer. He's even outright stated his belief that everything in this world exists to be taken by him.