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.
Prussia from Axis Powers Hetalia. He calls himself 'Ore-sama' (a narcissoid 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.
Griffith did initially seem to care at least a bit about his group of mercenaries, particularly Caska 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.
Come to think of it, every single Apostle counts. They all had people they cared about... people who they were ultimately willing to feed to demons when push came to shove.
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.
Vegeta from Dragon Ball Z certainly fits, specifically around the Androids/Cell arc. He was technically on the good guys side, so a few guys would find his attitude irritating. Even Bulma, who had a child with Vegeta, found his personality grating, but she had a whole 7 years to deal with that later.
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 of Fullmetal Alchemist 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. 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.
He later also 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.
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 Huckebein 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 aafter 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).
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. Madara was mad because his clan wanted to stop fighting the Senju clan, then he was mad because HE didn't get to be Hokage, and then he was mad because he felt his clan didn't respect him enough. When he began going blind, he took his brother's eyes, though whether or not this was by force is intentionally unclear. Madara is a little more debatable because he seems to honestly believe he was doing the right thing for his clan, but he completely ignores their wishes. While it turns out Tobi was lying when he said he was Madara, the real Madara is apparently behind the Moon's Eye Plan, aka 'Brainwash the world into doing what I want.'
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. In short, not only has his selfishness been turned Up to Eleven, he's gone absolutely nuts.
Played with in the case of Itachi. He 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 he also kept his younger brother alive and repeatedly mind-raped the kid, forcing him to grow up into a bitter obsessive lunatic for reasons that are subject to change at any given moment. To date it's been narrowed down to either because he wanted to die at Sasuke's hands (which he didn't, making his efforts totally meaningless) or because he (allegedly) loved the Sauce too much to kill him.
And last but certainly not least. Tobi, or Obito, has shades of this. Is he really doing this to create a better world? Or is he doing this so he can see his beloved Rin again? Also note he outright admitted he started the Fourth Shinobi War because Rin died.
Parakewl from Tower of God. He demands that people sacrifice themselves for him, cares more about his scores than his comrades' deaths and after insulting everybody and fucking everything up, he demands to be saved because his dream is superior to those of the others.
A staple of many One Piece villains. Notable examples include Kuro, Don Krieg, Wapol, and Spandam.
Kirino from Ore no Imouto ga Konna ni Kawaii Wake ga Nai! 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.
Ouran High School Host Club's Tamaki seems to have this attitude, but then goes through major character development it turns out he's always been The Messiah... while still happily bragging about how awesome he is.
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 The Messiah. 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 The World God Only Knows, Keima comes to the conclusion that the MacGuffin 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 dedicated his life to seeking revenge on Kenshin for accidentally killing his sister Tomoe. He gathers an alliance of warriors who also want revenge on Kenshin for various reasons. Enishi admits in private that he couldn't care less about anybody else whom Kenshin had wronged. His "teammates" are nothing to him but valuable muscle to destroy Kenshin and avenge Tomoe.
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.