Analyze

After Inko is murdered, Izuku flees his home and is left to fend for himself. Knowing he can't go to UA and not wanting to let go of his dream of being a hero, he becomes a vigilante. Izuku and Eraserhead become well aquatinted over the years as the hero attempts to capture him, eventually succeeding. Once it's revealed that the infamous vigilante is just a child, Nezu arranges to enroll Izuku into UA.

Before you read, please know that I wrote this years ago. It's very bad and I promise I've improved a lot. Also, this is basically a self indulgent dekubowl so don't expect anything good. A rewrite may come eventually because this is embarrassing lol