Kasumi Tomine: Joined because she likes catching/fighting aliens. Also contrasts with Yuri in that she is a prodigy and a xenophile. Also serves as the Red oni to Kumi's blue. (The McCoy)
Yuri Otani: Railroaded by her classmates since no one else wanted to be stuck wearing the Ugly Cute alien. The opposite of Kasumi in that she is a crybaby moeblob who despises all things alien. (The Kirk)
Kumi Kawamura: Choose to be an Alien Fighter rather than be saddled with the higher pressure and responsiblity of Class President (little did she know...) but is also the thinking man and The Stoic of the group. Also serves as the blue oni to Kasumi's red. (The Spock)
Eren Yeager is the brashest, most easily affected by emotions, and most eager to fight. (Id / The McCoy)
Mikasa Ackerman is a ruthless fighter, the calmest and most emotionally distant, able to be decisive where other would hesitate. Subverted, since this goes right out the window whenever Eren is concerned. (Superego / The Spock)
Armin Arlert is Childhood Friends with Eren and Mikasa; hence he is able to calm Eren down and rationalize with Mikasa. (Ego / The Kirk)
There's also Levi, Erwin, and Hanji later on:
Hanji - emotional to the point of being creepy at times (Id)
Levi - cold and ruthless pragmatist, looks at things logically to the point of being a borderline Sociopathic Hero (Superego)
Erwin - considers both emotions and doing what needs done to be equally important (Ego).
Casca - Ego. Somewhere between the above two in personality terms.
Bleach features the rare instance where the power trio are also the villains:
Aizen: The serene, soft-spoken yet supremely arrogant leader. The other two are completely loyal to him, so he has no trouble keeping them in line (Ego)
Gin: Constantly grinning, utterly without empathy, and more than happy to start trouble. Had a reputation for recklessness and scheming even before Soul Society found out he was Aizen's minion. (Id)
Tousen: Calm and stoic, Tousen is a Knight Templar who believes following Aizen is the least violent way to bring order to the world. He prioritizes his personal code above all else, even if it means harming former friends. (Superego)
Technically any of the Vizards can be considered this if the Interactions within Ichigo's mental world are/were the same for them. With the main Identity being the ego, the hollow being the Id and the Zanpakuto being the superego.
The Freudian Trio/Platonic Tripartite Soul also applies to the first three members of the Five-Man Band and love triangle:
Rukia is calm, contemplative, self-possessed, driven by duty, conscientious to the point of being suicidal over something that wasn't her fault, and is the damsel in distress in the rules-obsessed Soul Society (Rational/Superego)
Ichigo is the spirited protagonist (Spirited/Ego) and, as mentioned, is a tripartite soul himself with Ichigo proper, Zangetsu and Hollow Ichigo — lampshaded by the in-story "king and his horse" analogy which is similar to the charioteer analogy in Plato's Republic.
Orihime acts on her gut feelings and emotions, her unusual tastes in food are a running joke, and is the damsel in distress in Hueco Mundo where the inhabitants are driven to eat each other (Appetitive/Id)
Spills over hilariously into Ship to Ship Combat: The most obnoxious Ichiruki shippers bring out a moralistic laundry list of why Rukia is objectively more deserving than Orihime and label Ichihime shippers as "irrational," while the most obnoxious Ichihime shippers say something along the lines of "LOL boobs" as the reason why Ichigo should end up with Orihime.
The rest of the Five Man Band and Sixth Ranger: Ishida is the Rational/Superego, Renji is the Spirited/Ego and Chad is the Appetitive/Id. The two fighting formations toward the end of Hueco Mundo work this way with Rukia and Ishida trading places.
Also, Ichigo's closest three normal human friends: straight man Mizuiro is the Rational/Superego, hot-blooded Tatsuki is the Spirited/Ego and goofy Keigo is the Appetitive/Id.
Touma: more compassionate than Accelerator but his Hot Bloodiness is more laid back than Misaka (ego)
Accelerator: Anti-Hero with powerful telekinetic powers and a cold, cynical personality who kills those who stand in his way or villains who are much worse than him without showing any signs of remorse (superego)
Vicious was arguably a superego, but either has become (or always was) the id, driven by an extreme lust for power and control. When interacting with others, he puts on the cold facade of a superego, but when he fights, he is animalistic and instinctual, though he favors a weapon of serenity and discipline.
Spike started as an id, but arguably was shifted to being a superego by Julia's influence and now more less abides by the law, remaining calm and never letting his emotions show. He has the tendency to lapse back into a more id like state when angered, but mostly is calm and content, exemplified by his combat style of non-aggressive redirection.
Julia is almost certainly the ego, who, while not as animalistic as Vicious and definitely in more control of her lust, she is still able to readily show emotions, unlike Spike
Yamato (Matt): Cautious and sensitive, aggressive when provoked (Ego, shifts between Id and Superego, with a tendency towards Superego)
Arguably a subversion, though; after Character Development, Taichi matures into the Ego, as is more fitting for a leader, whilst Yamato is revealed to frequently be a lot less cool-headed than he'd like or tries to be, becoming more of an Id, particularly when Takeru (T.K.) is involved.
At the same time, Yamato tends to be more thoughtful and less ready to jump the gun than Taichi is, so the above example still fits.
Played more straight, however, in 02, which has not one but two examples of this:
Daisuke (Davis), who shares Taichi's hot-headed Id qualities.
Takeru (T.K.), now very much the ego; far more cool-headed than Daisuke, but nonetheless appalled by all the evil the villains are committing. Helps that he's been to the Digital World before.
Ken, post-Heel-Face Turn, is definitely the Superego to Daisuke's Id, to the point where the other Chosen Children thought at first he was still a monster for destroying the Digimon created from the Control Spires, before the method of their creation was revealed.
Miyako (Yolei) is another Id, being the team's resident Genki Girl.
Iori (Cody) is Koushiro's Superego successor in spirit, if not in abilities (since Miyako, unusually for an Id, is the tech girl for 02). He consciously tries to be as stoic and cool-headed as possible.
Hikari (Kari) is the Ego, being emphasised as the character of the purest heart in the series but also able to apply reason to her actions (it helps that like Takeru she's not new to this).
It's arguable that characters like Daisuke and Mimi have equally pure hearts, actually, since they tend to be optimistic and believe the best of people no matter what.
Superego: Shin or Takami (Takami is more typically intelligent while Shin is the least emotional)
Id: Agon (relies on his talent and instinct)
Ego: Ikkyu (prideful but reasonable)
Superego: Unsui (the most cautious of the three)
Id: Riku (actions based on emotions rather then what's strategic)
Ego: Kid (intelligent, but insecure)
Superego: Tetsuma (the one whose emotions are the most controlled)
Id: Kasamatsu (easily enraged and tricked) or Kamagaruma (impulsive)
Ego: Harao (reasonably intelligent, but hampered by insecurity)
Id: Banba (the real brains of the team)
Id: Mizumachi (lives for fun)
Superego: Kakei (thinks the most strategically of the 3)
Id: Kotaro (values passion most)
Ego: Juri (only sane man)
Superego: Akaba (values intellegence most)
Id: Gao (animal instincts personified)
Ego: Maria (desires victory, but not at the expense of others)
Superego: Marco (goes for the most straight forward path to victory regardless of those he hurts)
88 Alternately, one could argue that Kisiragi is the Ego: he's Marco's Left Hand in contrast to Gaou's Right, worships strength every bit as much as Gaou does, but relies on brainpower to use his strength effectively, putting him right between the two of them.
Winry: Sensible, diplomatic, motherly, can be stern (Ego).
Getter Robo; they're a bit of a special case, though, as their positions tend to shift depending on whether the current version owes more to the goofy 1970s anime or the dark and violent manga version.
Hayato - Whether he's a cool-headed foil to Ryo's loud, flashy super robo antics or a cold an calculating sociopath, Hayato almost always fits into the Superego mold. His Getter-2's hit and run fighting style reflects this nicely.
Musashi/Benkei - Whether he's the Id or Ego depends on the version. While he's generally a bumbling oaf who charges into battle without thinking, in darker Getter stories, while still more violent, he's usually less so than his teammates and has a great deal more empathy.
KonataIzumi: balanced, despite being an Otaku girl (Ego).
KagamiHiiragi: The rational one who often critize Konata's otaku interests and inability to study hard as well as constantly looking over her twin sister Tsukasa (Superego).
Or if you want to put Miyuki-san into the picture:
The four main girls go like this: Tsukasa and Konata fits into both Id and Ego (Tsukasa tends to lean more to the Ego while Konata more to the Id), Kagami fits into the Ego and Superego, and Miyuki fits into the Superego.
Natarle Badgiruel: Sergeant Rock. Firmly believes in the importance of discipline and abiding by military regulations. (Superego)
Mu La Flaga: Veteran Ace Pilot who serves as a pragmatic midpoint between Murrue and Natarle, respecting military regulations while recognizing that some situations require flexibility. Maintains a balance between his natural inclinations toward being a good soldier and being a good person. (Ego)
Shinn Asuka: An idealist who doesn't realise he's in a show with Grey and Gray Morality. Impulsive, hotheaded, and loyal to his friends before all else; has a tendency towards blaming others whenever something goes wrong. (Id)
Kira Yamato: Technical PacifistAll-Loving Hero who suppresses his own strong feelings in the name of saving the world, putting his own emotions on the backburner in the interest of protecting others. Very, very focused. (Superego)
Athrun Zala: A conflicted patriot who wants to believe to the same degree that Shinn does, but is too cynical and bitter after his experiences in the first war to implicity trust those around him. Wavers between following Shinn and Kira for much of the show, eventually settling on the latter. (Ego, leaning towards Superego)
The Minerva Trio (actually a great example of a failedPower Trio, in which the Ego is unable to successfully balance the other two, leaving the Superego in control, and the Id violent, angry, and on the verge of a confusion-induced nervous breakdown)
Lunamaria Hawke: Reasonable and friendly, she tries to be the mediator, but her lack of a forceful personality repeatedly sidelines her, allowing Rey more and more control over the group. She wants to do the right thing, but really isn't sure how to go about it, and her indicision has less than desireable consequences for Shinn in particular. (Ego)
Stella/r Louisier: Childish, in both good and bad ways; suffers from borderline paranoid schizophrenia. (Id)
Sting Oakley: Brother figure to his teammates and keeps the other two in control; cold, and the most practical of the three; the only one who knows when to call it a day. (Superego)
Zoro: Concerned with honor, especially in battle. He also constantly clashes with Sanji (superego)
Luffy: The only one who can make them work together, shows both emotion/instinct motivated actions and actions motivated by higher concepts such as True Companions and his own personal idea of justice (ego)
The First Three Crew Members:
Also, the Three Admirals:
Aokiji: A slacker, lax with rules but still follows commands (ego)
Kizaru: A little lax with rules, but is extremely careless and causes wanton destruction without knowing it (id)
Akainu: Extremely law-abiding (superego)
The Three Great Powers in general
Marines: The defining force of law and government control (superego)
Yonko: The four most powerful pirate captains in the world, exerting their control over the New World (id)
Shichibukai: Seven pirate crews turned privateers for the World Government (ego)
During Luffys Childhood:
Ace: Acting impulsive if someone threatens him but being calm enough to pull some thefts and stuff (ego)
Sabo: Berating Ace not to be to impulsive and sacrificing his freedom to save his brothers (superego)
Luffy: Not as strong as later, but the same without being very brave (id)
Sanada Genichirou: Called the "Emperor", he's strong, ruthless, and has a tendencity towards violent reaction. (Id)
Yanagi Renji: The "Master", he is the team's data specialist, uses statistics and probabilities during tennis matches to predict the opponent's move, and crafts the team's strategies. Tends to be cool and aloof. (Superego)
Yukimura Seiichi: Called "Child of God". Although he can be quite ruthless himself, Yukimura is the force uniting his team. (Ego)
Madoka herself is the Ego, as the series is her being caught between the various things other people want of her. More to the point, she has a lot of cares, but doesn't tend to rush into things like her best friend, Sayaka.
Sayaka and Kyouko are both Ids, being hot-headed and following their impulses (very different though those impulses may be).
The Ideon itself: powered by the potentially infinite Ide energy (the name sounds like an eloquent enough clue) which is particularly triggered by threats to it and the youngest members of its crew, and sometimes acts on its own in those cases (Id)
The Solo Ship: Usually carries the more adult members of the cast, whom try to work toward everyone's best interest, and also the youngest children on board whom further emphasize everyone's resposability to keep everyone safe (Superego)
Whomever's actually piloting the Ideon: Usually engaged in combat when needed, trying to keep the crew safe, but also needing to attack and thus making use of the Ideon's energy and its destructive power, a fragile balance that's usually hard to maintain (Ego)
Soul Eater (Although they work separately most of the time)
Maka Albarn: The most equilibrated of the trio, tends to let herself be fueled both by her logic and her emotions (Ego).
Black Star: Prefers to act before thinking in the results of what he is doing, by far the most impulsive of the trio (Id).
Death the Kid: usually cold, smart and talented enough to face almost anything, however many times he lets his obsessive compulsive tendencies take control of him, this ironically from the fact he wants moral and physical perfection and balance, he is a god after all (Super Ego).
(Pre-Crow) Aki: Originally thought to be cold-blooded and sadistic, eventually revealed to be extremely passionate about things she cares about and ultimately in search of love. (Id)
In the crossover movie, Yusei is the Ego still, given his attitude, Judai takes up the Id, since he's the most enthusiastic about their adventure, and Yami/Atem takes up Superego for his Knight Templar tendencies.