Tetsuo is one of the New Age "Indigo Children".
In some New Age circles it is believed that "Indigo Children" gain their powers after a young age such as telekinesis, and are bullied through school for being different. Tetsuo has all of these characteristics.
Tetsuo would beat Kaneda...
If he wanted to. Or, more accurately, if he believed so. His desire to find Akira makes it possible for him to teleport outside the Nursery building, and there are many other examples of Tetsuo's powers increasing because of his power of will. However, his inferiority complex on Kaneda make him unable to defeat his former-best-childhood-friend, even after he deals with bigger foes.
Kaneda would have killed Tetsuo.
Had the epsers simply asked Kaneda to help them, he would have killed Tetsuo. In the movie Kaneda was the only one able to harm him physically, either with his hands or any weaponry at his disposal. In fact he came close to killing him had the battery in his laser gun not died.
Akira in the manga is not entirely a blank slate.
Akira is said by the Espers to be effectively an Empty Shell because his powers have effectively overwritten his personality, but several frames from the manga imply that this is not the case. For one, he is genuinely fucking irate after witnessing Takashi's death, and has displayed some other emotions, such as boredom and anticipation.
The kids made a new universe to store Tetsuo's power
Think about it. Four extremely uber-powered superkids, one of whom destroyed Tokyo, are pushing the limits of the universe's power capacity, but Tetsuo is just breaking the limit. I mean, with all that other power out there in the universe, there's gotta be a "sorry, kids, the universe can't handle this much freaky power" point along the line, right? So the kids create an entire fucking universe to store their power and Tetsuo's.
The project that gave the Numbers their powers was based off Dr. Gargunza's work.
The basics (altering a human child to grant them Psychic Powers and transform them into a Super Soldier) are remarkably similar, and it did go horribly wrong both times. The real fun comes from speculating why Japan wanted to develop psychic super-soldiers in the first place.
It's a sequel to Domu: A Child's Dream.
The way psychic powers behave seems similar. The Numbers could have been created using DNA samples from Etsuko and Old Cho. Perhaps Etsuko was Tetsuo's Missing Mom.
The entire Anime takes place in the universe Manga Akira created.
While the Manga and Anime pretty much ended the same way, both mediums are completely different in terms of plot and setting. Such as Tetsuo and Akira ruling Neo-Tokyo in the Manga. Whilst in the movie Tetsuo has been demoted to a Godzilla like rampage monster and Akira has gone from a frozen body to a frozen body in pieces. In the Manga, Akira created a new universe which included a new earth as a means of controlling Tetsuo's and his out of control power, but in the process made a new Kaneda, Tetsuo and worse a new Akira. Should they ever make a live action Akira, it would take place in a universe that the Anime Movie Akira created in an attempt to start over again.