Deku the One For All Legend (Bnha multi crossover fanfic)

Izuku Midoriya. He had one dream that he was dead set on. A dream to be a hero like his idol All Might. When he was four years old, the age where everyone should develop their quirk, Izuku was diagnosed quirkless, though he still had a dream to be a hero. His friend turned bully was was picking on another quirkless kid, Izuku jumped in despite knowing that he doesn't have a quirk. After getting brutally beat up, Katsuki walked off leaving the other kid alone. What Izuku doesn't know is that his actions didn't go unnoticed. A muscular old man seemingly 1,500 years old took him under his wing to train him and to be his successor. This man's name is Kenshiro, otherwise known as The Fists of the North Star. At the age of eleven Izuku went on patrol with not just Ken, but All Might as well. On that patrol Izuku does an act that was the pure definition of a hero, after this, All Might felt like there was no one more worthy than him to hold his quirk, One for All.
After receiving this quirk, another martial artist volunteers to train him. His name is Goku. Little did Izuku or even All Might knew, there was far more to One for All than both of them knew, and only Goku's rival Vegeta knew about it.
At the age of fourteen, Izuku got accepted to his dream school UA, and he makes friends with someone with gray hair and had two eyes, one is black the other one is white. Thanks to Izuku's Ki control he can tell that he's not fully human.

This is the story of how Izuku and Lucas became the world's greatest heroes.

DISCLAIMER: All characters belong to there rightful owners, I made my own characters which are Lucas and Artih (though I don't own the Saiyan race or Amazon) Other than that, all characters belong to there rightful owner! Also, there will be some manga spoilers as well. You have been warned!