Shadow the vigilante

Izuku Midoriya was just a normal 14 year old boy. In his world 80% of the population has a supernatural ability called a quirk, that you get when you are around 4 years old. Izuku however was part of the 20% of the population who didn't have a quirk, therefore making him quirkless.

One day he meets his idol All Might. All Might tells him he can be a hero and offers to give him his quirk. One day during training Izuku come home to his apartment destroyed, and his mom dead.

So what does he do? Become Shadow the vigilante to help those heros couldn't reach. People like his mom.