Following the disaster wrought upon the world by a mysterious being called ‘Akira’, Neo Tokyo is now in social and economic turmoil. In such a decaying city, feisty Kaneda and his shy friend Tetsuo survive by running around in a biker gang, chasing local rivals and generally evading the police. Everything changes, however, when Tetsuo crashes into a strange-looking boy during a bike chase and the military ends up taking him away. When he eventually returns to his friends, he’s no longer the same weak little boy they always knew – in fact, a military experiment has turned him into something beyond human imagination. While the military is intent on reclaiming its specimen at any cost, Tetsuo is sick of being bullied around and is about to show everyone, including his friend Kaneda, exactly who is boss.
Toudou Gakuen is no ordinary high school. There, during the Meiji Restoration, fighting masters were forced to gather from all over Japan to re-establish the martial arts. Amongst the student body is a group of immensely powerful fighters who maintain order through absolute power. This "Enforcement Group" is locked in a feud with the Jyuuuken Club over matters of love and death. Now, two newcomers have disturbed the order of this school, becoming entangled in this vicious feud. Caught between sexy babes and terrible powers, the battle to be the strongest begins!
If you want a longer series set up in urban setting with motor-bikes, school kids' fistfights and all kinds of trouble one can get him- or herself into, try watching Tenjho Tenge. It is not considered to be as deep as Akira, which is a matter of taste really. What is a fact is that Tenjho Tenge is more combat-focused and contains a fair load of fanservice.
If you are not satisfied with the last episodes of TT, go for its OVA as well.
Five hundred years ago, mankind abandoned Earth after the devastation it caused on her soil. For efficiency, and to make sure not to repeat the same mistakes, men are now grown in test tubes and have their minds reprogrammed at the tender age of fourteen, so that they may better function in society. The central computer known as Universal Control manages the system, destroying those that deviate. And amongst these humans is Jomy Marcus Shin, a young man who is about to be dubbed a traitor once they discover he is a Mu, a monster with telepathic powers that will disrupt their way of life...
While these two anime might not seem similar in plot, they have a similar undercurrent - a young person who suddenly is granted a strong and dangerous power, and must rebel against the dystopic society he has grown up in. Both are older, gritty titles that feel very rushed and truncated - in Akira's case it actually is, while in Toward the Terra's case, it's a straight adaptation of a manga which feels equally rushed. If you liked the feel of one, you'd probably like the other.
Centuries ago, humanity carelessly ravaged the Earth’s environment, forcing them to leave and form a colony elsewhere. To prevent the same mistakes from happening again, they allow a supercomputer to run their lives. Children are genetically engineered and at the age of fourteen take ‘adulthood exams’, a process whereby the supercomputer ensures they are suitable for membership in this perfect society. Those who pass have their memories erased and are guided into the next stage of their life; those who fail are immediately destroyed. Jomy is a boy about to take his adulthood exams, but things go terribly wrong when a man wreathed in light interrupts the process. He is a Mu -- an aberration, a new generation of human with extraordinary powers usually detected and eliminated by the supercomputer. This man tells Jomy he too is a Mu and introduces him to the Mu society. They are a rebel group in hiding from the oppressive human regime, who live in the hope that they will find a life of peace on Earth some day. Can Jomy leave behind all that he has known, come to terms with his awakening powers, and help the Mu return to their beloved Terra?
Kids struggling to cope with newfound psychic abilities and what happens when they lose control. Normal humans and their fear towards the newfound power and how they try to extinguish it. You get to see the story unfold from both sides of the coin.
Surrounded by water and a world of pollution, oppression, and never-ending rain, the city of ECOBAN feeds off of the surrounding pollutants to sustain life on this seemingly last continent on earth. Shua, a man thrown out of the city, misses the blue sky and now fights to cast down light on this cloud covered island, while uncovering figures from his past.