Intangible Girl: Her ability lets her phase through everything, including her clothes.
Kick Chick: But she also uses a form of martial arts centered on grabs and throws. Eskrima (the aforementioned martial arts form) has aspects dealing in both armed and unarmed combat. It teaches grabs and throws, kicks, punches, and how to utilize most everyday things as a weapon for self-defense (knives, sticks, other forms of blades, etc.)
Dating Catwoman: He actually isn't, but did live with her for at least a year before the series started. The exact nature of their relationship causes Rinka some angst.
Dogged Nice Guy: Despite Rinka's reluctance to get involved with him and to accept her ESP powers he keeps showing up and encouraging to use her powers for good. Fortunately for him it's not long before she starts crushing on him.
Heroic Wannabe: In almost any other series he'd be the main character, but Rinka does a better job embodying the ideals he espouses and kicks a lot more ass.
Teleport Spam: He eventually learns to do it in quick successions.
Training from Hell: He received extensive Special Forces training with the CIA Special Activities Division during the time skip after part 1.
Took a Level in Badass: Even though he is still pretty much Rinka's sidekick, part 2 shows that he is now a much more competent melee and gun fighter upon his return to Tokyo after going missing with Rinka one year prior. Thanks to the aforementioned Training from Hell with the CIA .
A son of one of the most outspoken people against Espers and everything they stand for. He has the power of Precognition, but he can only see two seconds into the future. He is also a student of Master Yoda called in to train with the others. He is a middle school student with aspirations to be a member of Congress, like his mother.
Lightning Bruiser: He's fast by himself, but he seems even faster because of his ability to see all attacks two seconds in advance. However, when he thinks too much about the possible futures in battle, he slows down.
Parental Obliviousness: His mother is completely oblivious to his powers at first... then he has to save her from another ESPer with his own powers.
Took a Level in Kindness: After bonding with Murasaki and the others, and working together with them to stop the Professor.
"Well Done, Son" Guy: It's hinted that he wishes for his mother's approval. Given that he's an esper and she's against espers . . .
A Martial Arts Master who trained much of the Tokyo Police Force, including Rinka's father. He is constantly dressed in a panda suit and is an Esper himself, with the power of clairvoyance. Yes, he is named after that Master Yoda.
A pelican that Azuma meets when he is left on the deserted island. It helps him escape. It can communicate to him because it gained powers of Telepathy from the light fish. He later joins the heroes in their crime fighting.
Big Damn Heroes: With Azuma, he manages to save Rinka and Black Fist from the Professor.
What Is Love: He wants to experience the feeling that only beings with a "higher level of intellect," such as humans, can have. Such as what Azuma feels for Rinka.
Heroes (Part 2)
The Hero of Part 2, taking place over a year after the events of Part 1. She is a first-year high school student who gets caught up in an ESPer terrorist attack at her school. Ren herself is an esper, however.
Power Incontinence: Loses control of her powers occasionally, causing her to freeze herself in awkward situations. It completely goes berserk in moments of great stress, releasing an amount of power never seen in the series before.
Power Nullifier: Somehow, she also has the same ability to remove powers as Peggy.
Kokui Kobushi, the other Black Fist's younger sister. She has a teleportation ability as well, but she can only teleport other people and things, not herself, just by touching them. She desires the title of "Black Fist" in the Kobushi family, and to do that she must steal something valuable enough to please their grandmother. As such, she joins the Professor for her own reasons.
One of the ES Pers that the Professor recruits. She first appears to attack Rinka and the others at school. She has the ability to make a "long range spirit punch," i.e., she has repulsion powers as opposed to Ken's attraction powers.
You Have Failed Me: Murders the group of ESPer high-schoolers they paid to riot at the ESP academy after they failed to cause any damage, got their powers taken away, were caught by the authorities, and were about to snitch on the the organization.