Mr. Fanservice: Lessee, tragic history, red hair, shirtless every other scene, athletic, good heart (underneath a selfish juvenile exterior)... Yeah, that'll do.
Good Scars, Evil Scars: Straddles the line a bit, considering only about half of them are covered by his shirt.
The Gunslinger: His fighting that doesn't involve a lot of cheating.
Handsome Lech: Goes after every hot lady he meets except Hamushi, one of the Anten Seven, at which point he only loves Melfina.
Jerk with a Heart of Gold: He'll stick to a promise with a girl to find her past, but is rude to everyone except a lady isn't out to get him.
Loveable Rogue: Gene is a lecherous loud mouth with a knack for trouble, and he can be a right asshole on his bad days, but he helps those he has a bargain or promise to.
Damsel in Distress: Justified, as she's pretty important to the one thing everyone's after in the series, and furthermore she is the one female member of the Outlaw Star crew who isn't a semi-immortal alien or an assassin.
Shrinking Violet: Notably shy for a girl who spends most of her time doing her job naked.
Unusual User Interface: She isn't a navigator, but rather the navigation system for the Outlaw Star. This requires her to jump into some backlit chamber and remove all of her clothing for some reason.
Wetware CPU: As the Outlaw Star's navigation system
Can't Argue with Elves: Played straight, subverted, double subverted, and parodied. Aisha won't hesitate for one second in reminding you of her race's superiority, get into trouble due to her childishness, bail out the crew when brute strength is needed, and she's frequently in as much debt as everyone else due to destroying wherever she works in a pointless fight.
Cat Girl: The ears, the "nya," and the feisty attitude Even turns into a Tiger.
Clothing Damage: Aside from when she gets blown up, she shreds her outfit when she turns into her tiger form.
Why Do You Keep Changing Jobs?: She has a habit of wrecking every place she works at by getting in a fight, promptly leading to "new employment opportunities."
Professional Killer: Gene ended her notable reputation, but she still kills people despite this. Probably the only reason she's not dirt broke like the others.
Red Baron: "Twilight" Suzuka, so called because she always completes her jobs at twilight.
Samurai: Suzuka has no real place in the series which is a semi-futuristic world with magical space pirates and ships with arms, likely only there to add a sense of Japan and fetish fuel.
Sixth Ranger: She comes and goes as she pleases but is so significant of an ally the crew would never survive their encounters with pirates without her.
Do Androids Dream?: Parodied. Gilliam is programmed with a mental block that prevents him from questioning or meditating on his existence or purpose — so instead of contemplating his navel, he contemplates his inability to contemplate his navel. Meta.
Only Sane Man: Constantly points out the recklessness of the crew.
But for Me, It Was Tuesday: When Gene confronts Ronald about the death of his father, he casually mentions that he doesn't recall, as he can't be bothered to remember every single person he's killed.
Cybernetics Eat Your Soul: Inverted. If anything, Harry becomes more stable the more cybernetics his body takes on.
Evil Counterpart: Both of them could qualify for different aspects of Gene. Ron is a cool, calculating fighter who plans ahead, whereas Gene is hotheaded and prone to making stuff up as he goes along. Harry, his romantic rival, is disturbingly open with his feelings for Melfina and pursues her aggressively, while Gene keeps his feelings for her hidden to the point of seeming uncaring.
Pet the Dog: The two brothers do genuinely love each other and Ron is particularly upset when it looks like Harry's been killed. We also find out that while his obsession with her was pretty far from healthy, Harry's feelings for Melfina were purer than they first seemed.
Psycho for Hire: Ronald is the calmer, more businesslike of the two, but Harry definitely counts.
Sanity Strengthening. Harry starts off as an Ax CrazyStalker with a Crush to Melfina but as the series goes on he becomes more loving and gentle towards her and even makes peace with Gene before his death.
Wet Ware CPU: Much like Melfina, Harry can connect to the MacDougal's ship. It's part of the reason for his obsession with her.
Wild Card: They're willing to take jobs from any of the three factions, as long as it pays well. The Wild Card aspect REALLY comes into play when they finish a job for the Kei Pirates...only to start on a job they got from the Space Forces that involves killing said pirates.
Badass: Although they appear less often then most villains, the group is undeniably powerful and up to the job.
Badass Normal: Shimi appears to be the only member of the pirates lacking either sorcery or supernatural powers, but is arguably the one who comes closest to killing Gene and the rest of the crew.
Bigger Bad: We know practically nothing about Hazanko's superiors, the Tendo King and the Tempa Emperor. However, considering that Hazanko, who is no slouch himself, felt he needed something like the Galactic Leyline to take on either of them it seems reasonable to assume that they are bugnuts terrifying.
Improbable Weapon User: Hanmyo being a master of "Space combat with cats" certainly invokes this trope. Ultimately, it means she pilots a grappler ship with two detachable arms, each piloted by a super-intelligent cat.
Informed Ability: Tobigera's a member of the Anten Seven, Hazanko's elite group of assassins, but his first attempt on the heroes was pure comic relief during the hot springs episode, and after that he never gets a chance to prove himself.
He's also supposed to be a master of disguise, but never gets a chance to prove it. You'd think wearing an evil-looking mask all the time wouldn't do much to disguise you, though.
The Star Scream: It was hinted that he was more powerful than the other leaders, but his real goal is use the Galactic Leyline in order to overthrow the Tendo King and the Tempa Emperor.
The Stoic: His mask does a good job of hiding what a psycho he truly is under that royal facade.
Not So Stoic: Gets a bit more expressive when he merges with his ship.