(REVISIONS & REWRITE ONGOING)
As Izuku looked over the edge of the roof he felt what he could only describe as the call of the void. After such a depressing and chaotic day after such a monotone, dreary life, Izuku just couldn't resist.
He fell, but nobody hit the pavement.
...
All Might, or Yagi Toshinori for the few who knew his real name, had a stressful week. He was getting weaker, had been for a while, but it seems as though that fight with the sludge villain sucked more of his strength than he realized.
Things he used to do in his hero form had become rapidly harder to perform in such little time, forcing him to come to terms with losing his quirk sooner than expected.
...
One For All is not just a quirk. It is the combined power, ideals, quirks, and consciousness of all of its past users. As such, when they saw this young, Green haired boy before their current vessel, they knew they would have to take the quirk's path into their own hands.
After all, whether or not the quirk was passed on had to do with the willingness to do so, and all the past users wanted to, even if Yagi's permission was flimsy.
----
Old summary:
He followed his hopes and dreams to the edge of the roof. He felt the wind in his hair, making his burnt shoulder sting. He was falling, but he didn't hit the pavement.
The first thing Izuku noticed upon waking up was that he was covered in blood...
... and he knew without a doubt that it wasn't his own.
- A quirked izuku fic