Effeminate Misogynistic Guy: He runs the only organization in the series to contain absolutely no women (unless the girls who work in the casino count) and he once disparages Daisuke for having to be rescued by Kyoko because she was a woman
Although that particular remark may have been sarcasm.
Emo Teen: Barely young enough to qualify, as he is nineteen.
Eye Scream His left eye is needed to open a safe protected by a retinal scanner. He's rescued by Daisuke, who needs to keep him safe in order to (hopefully) obtain some information from him when he comes out of the Angst Coma.
Good Eyes, Evil Eyes: Has "the eyes of a wild beast," according to one of the other mob leaders in Company Vita.
Ill Boy It's mostly mental, but seems to take a toll on him physically, too.
Ironic Name: He's the leader of Judoh's criminal underworld and his father once announced his plans to make him a "lord of darkness" yet his name is a French word meaning "light," "bright," or "clear."
Meaningful Name: However, as the series goes on, his name becomes more appropriate, as he ends up being a guiding light for most of Judoh in the final battle. Giovanni is the first to lampshade this idea ("Show Judoh that you can shine, Clair").
Just a Kid Because he's only 19, the other higher-ups in the various Mafia factions don't think he'll be a good leader.
Kick the Dog Most of his Evil plans have little to do with the central plot. It's revealed later that he isn't the Big Bad, Daisuke's brother is.
Noble Demon: In his first couple of appearances, he comes off this way—particularly when, at one point when he's sent after J, he tells Daisuke that since he's not targeting him, if Daisuke leaves J to him he'll let him (Daisuke) live. He becomes a full-fledged good guy pretty soon after, though.
Our Werewolves Are Different: Started off as completely human, then surgically and genetically altered as punishment for murder to have the head of a wolf, which he disguises with a holographic mask.
Christmas Cake: Although, strictly speaking, she has another year to go before reaching true Cake status, she does receive comments from J about her lack of a husband. She takes it with a grain of salt, though.
Just a Kid: Even though she's only 10, she has to earn money to support her family, because of her alcoholic mother and her Disappeared Dad. Because of her difficult life, she is more adult-like than kid-like, but is dismissed as this because she's only 10.
Gory Discretion Shot Ian is shot by Senator Noriega while spying on him. Afterwards, his hand with the Phi Beta Kappa ring on it is chopped off, packaged up, and sent to Clair's office. All we see is the look of horror on Clair, Giovanni, and Mitchal's faces when they open the box.