Another suggestion is "Izuku as Miya Chinen"
Sk8 the Infinity x MHA
-Izuku Midoriya has a secret identity and Angsty past. His parents grew up wanting to be heroes but end up being quirkless. So they have a child and enforce heroism on Miya, making Miya hate heros. Once it's said that he's quirkless, his parents gave up on him and let him do what he wants, which in his case was skating. But then All Might gave the quirk, his parents found out, trained him to the bone (on top of All Mights training), didn't let him skate, and signed him up for UA, which he never wanted to do. They also legally changed his name to Izuku Midoriya.
Some headcanons I have are
1) Katsuki is best friends with Miya and skates with him. He pretends to hate him because he hates his parents and what they did. He also refuses to call him by his new name, so he called him "Deku" instead!
2)Miya's uncle is an engineer/technician that makes Ai stuff! So he makes Miya his own secret house/secret hide out! It has a built in skate park and a snack bar, including housing! And what runs it all is an AI that Miya considers his mother! Ai took care of him like a son. Helped with homework, injuries, manners, basically all that his parents didn't do and it was all a secret! (You can pick Ai name if you do this)
3) Miya sneaks out of UA (sometimes w/ Katsuki) to go to S (The illegal skating rink)
This is just what my version of the Au is, you can do whatever with this information! <3