Ace Pilot: Goes without saying as a Gundam protagonist, but what's notable is that he had to grow into it. The first time he pilots a Gundam, all he does is flail around wildly all over the place. It's quite notable that he became good enough to pilot the Zeta Gundam better than Fa, an experienced pilot, in the space of a few episodes, however.
Badass: Unlike the previous Newtype heroes, he isn't a pushover and more than willing to push back if pushed. Just ask Wong whom he floors with one kick after Wong attempts to pull the same shit he did with Kamille. Also see Berserk Button below. It says a lot when you can make a major villain CRY out of fear. It's also been speculated that he's the most powerful newtype in the UC era.
Badass Grandpa: In a side manga, he fights against the Zanscare forces in his outdated (stated in-universe to be outdated by at least 60 years, enough that even Mook mechas there are more hi-tech) ZZ Gundam (which is missing more than half of its original parts and even left with PEG LEG) called the Gump at about 80 years of age and kicks ass
Berserk Button: Word of advice - do NOT try to harm one hair on Leina's head. Go ahead, just ask Haman who actually became scared when she sensed his pure rage (which then manifests to every Newtype in the city as a skyscraper-sized demon) after she grazes Leina with a bullet.
Chick Magnet: Well, Puru saw him as some kind of big brother. The same can't be said of Elle and Roux, of course...and then there's Haman!
Delinquent: His classmates and teacher in Shangri-la seems to view him as this.
Everyone Can See It: His... complicated relationship with Haman. The Argama crew even start formulating battle strategies around it.
Expy: Has more than a few Char traits. Fitting, since ZZ was going to have Char as the hero until Tomino got the green light for Char's Counterattack. Lampshaded by Haman.
Heroic BSOD: After Leina's apparent death, and then after Puru's REAL death.
Little Miss Badass: She's no fighter, but she's got enough stones to call the Federation government out on their bullshit mere minutes after getting shot in the gut. The kid is tough.
Go-Go Enslavement: A rather milder example than most, but it's still creepy the way Glemy forces her to wear various dresses among other things after he kidnaps her. Dude's got issues.
Badass Abnormal: Her Newtype powers don't really start to develop until late in the series. By then, she's already proven her chops as an Ace Pilot, and they're just a nice little bonus.
Guile Heroine: She's far more likely than the rest of the Gundam team to use flirting and trickery to get out of a tough situation. Unfortunately, this results in her picking up a dangerous, persistent, and annoyingStalker with a Crush by the name of Glemmy Toto.
Character Development: Starts off as a selfish punk, and grows up quite a bit over the course of the show.
Chronic Backstabbing Disorder: Initially. It's less a matter of malice, and more immaturity - he keeps looking for the easiest way out. He eventually does rejoin the heroes and stays with them.
Child Soldiers: A fine demonstration of why using these is a really terrible idea.
Clingy Jealous Girl: To Judau. Given that she's ten (and not very mature for her age), the self-centredness is unsurprising.
Cute and Psycho: She hasn't really started to develop a moral compass yet. Being raised by Glemmy didn't help, and neither did being a Cyber-Newtype.
Dying Moment of Awesome: During their battle with the Psyco Gundam, she used her wrecked Qubeley to shield Judau from an incoming energy blast, then telekinetically hijacked the Psyco's reflector bits to fry it with its own guns. Needless to say, she didn't survive.
Badass: Possibly the best pilot of the entire Neo Zeon War, routinely handing ungodly-powerful Super Prototypes their backsides with her ageing Qubeley. Even after she disabled half her funnels to make her final battle with Judau a fair fight, she still fought him to a draw. No two ways about it, the lady is dangerous.
Broken Bird: So much so that when she meets her first genuine idealist in years, she alternates between trying to manipulate him, kill him, and make out with him.
The Cynic: Haman refuses to believe that people can accomplish anything positive. Judau's insistence otherwise is another part of why she's so curious about him.
Pet the Dog: An retroactive example. It turns out that Mineva Zabi, the seven-year-old puppet who she's apparently been heartlessly manipulating throughout the war, is actually a Body Double. The real Mineva hasn't been seen since the end of the Gryps Conflict, and Gundam Unicorn confirms that she spent her childhood in safety and obscurity. It seems the calling-out she got from Char during Zeta Gundam had an impact after all.
Villainous Crush: Has a truly warped one on Judau. Given that he's got most of Char's good qualities—and reminds Haman of what she was like at his age—this isn't really surprising.
We Have Reserves: Notes after Mashymyre's death that "all this means... is that the number of resources available to me has decreased by one"... though her tone of voice suggests that she's trying to convince herself of that.
Woman Scorned: Is driven by her anger towards Char. It's worth remembering that they never actually had a relationship - she just crushed badly on him in the years after the One Year War, and he let her down.
Anti-Villain: Pretty much the only reason the Argama crew have a chance against him at first is because of his sense of fair play and desire to avoid civilian casualties. The Dublin colony drop essentially breaks him, and he drops the 'anti' from then onwards.
Bad Boss: Becomes this after crossing the Despair Event Horizon, even ordering the assassination of a mutinous subordinate during a battle.
Benevolent Boss: Cares greatly for his men in the early parts of the show, with his few moments of carelessness easily explained by his clueless naivete.
Despair Event Horizon: Having to command the Dublin colony drop pushed him over this - he even gives away Haman's rose, claiming he's no longer worthy of it.
Distracted by the Sexy: Once failed to register a lecture on tactics from Haman because he was too busy staring at the dictator of Neo Zeon's cleavage.
Ensign Newbie: As green as the grass at the start of the series, much like his foes on Shangri-La.
Taking You with Me with Dying Moment of Awesome: After he gets caught in a shocking wire trap that is about to destroy him and his MS, he pulls one of the enemy wires to bring one close enough to crush the mobile suit's head and hangs on while his MS explodes.
Tragic Villain: Started off as a naive but good-hearted young man, but his puppyish devotion to Haman led him to do horrible things to himself and other people until he was merely a broken, nihilistic shell of a human being.
Dying Moment of Awesome with Somewhat Heroic Sacrifice: She holds off the Puru clones to allow Judau and Haman to have their final confrontation at the cost of her life. She also grabs a hold of one of the Puru clone's MS to take one with her when her MS explodes.
Marshmallow Hell: Does this to Judau while tempting him to aid her escape.
Stripperiffic: For some reason, all the Neo Zeon personnel we see get turned into Cyber-Newtypes end up wearing much less afterwards, but it's particularly pronounced with her.
Talkative Loon: When in a mobile suit cockpit. Initially, it's due to acute space-sickness. Later, it's... not.
Why Did It Have to Be Snakes?: Her initial opinion on piloting mobile suits - she gets space-sick very easily. Her opinion make a complete 180, though, after she discovers that it was just wearing a pilot suit that was making her ill.
Apocalypse Hitler: He's a clone of Gihren Zabi, the UC's equivalent of Hitler, and he manages to make an already horrific war worse by adding a civil war element and armies of clones to it. Justified as he was given power by Haman and the others who cloned him, and then used that to gain still more.
Char Clone: Blonde-haired mastermind? Chillingly cold manipulator? Lots of little girls? Judau might have gotten Char's good qualities, but Glemmy got his bad ones.
Fluffy the Terrible: "Glemmy Toto" isn't exactly the most terrifying name out there. Be honest—how many of you ended up picturing the dog from Wizard of Oz the first time you heard the name?
From Nobody to Nightmare: Goes from being a joke pilot in a joke squadron led by a joke commander to arguably the true Big Bad of the show.
Green-Eyed Monster: Thanks to the defecting Beecher and Mondo's "info", he thought Judau and Roux were an item early in the anime. May be Hilarious in Hindsight, as they do end up together in the end.
The Heavy: Of the big-name villains, he's the one who gets the most screentime, with Haman generally being a more distant menace.
In the Blood: And given whose DNA he shares this is a very bad thing.
Lack of Empathy: A major part of his character - for instance, when it seems he's lost Leina and Puru, his first thought is annoyance at how many hours he wasted training them. It's also what makes his pursuit of Roux so creepy - he basically sees her as a possession to be obtained, rather than an actual person.
Laughably Evil: He's initially like this in the anime - he's still not a nice guy, but he isn't particularly threatening. The manga plays him more seriously from the start.
Lolicon: There are some creepy hints, particularly in his interactions with the Purus and Leina. Since he's only a teenager himself, however, it's not what you'd call definitive evidence.
Expy: He's a skilled, impressively durable, and quite conscience-devoid oldtype pilot with some major deaths to his name. In other words, he's Neo Zeon's answer to Yazan Gable, with some discipline and command talent thrown in.
Hero Killer: He takes out Hayato and Mashymyre before Judau finally brings him down.
Lightning Bruiser: He's got a fondness for big, fast, and heavily-armed suits. His first suit, the AMX-009 Dreissen, is a descendant of Zeon's infamous Dom family (read - a massive lump of armour with thermonuclear thrusters), and he only goes up from there.
Combat Pragmatist: Fights far dirtier than his boss, Mashymyre - he doesn't care as much about civilian casualties, and will happily use hostages, ambushes, and human shields to further his plans.
Hypercompetent Sidekick: He's a far more talented strategist and tactician than either of his commanding officers aboard the Endra, but shows commendable loyalty to them nonetheless.
Ineffectual Sympathetic Villain: Though he's much nastier and more competent than Mashymyre, it's counterbalanced by his impressive loyalty and appalling luck.