This is the second story idea given to me by @TheNightmare1009, the first being All For Son.
Izuku, Izumi, and Nasha Midoriya were the children of Hisashi and Inko Midoriya, aka Spitfire and Magnetic. Izuku learns he has 2 powerful quirks, but tells the quirk doctor to say that he's quirkless. The reason why is cause a few days ago, Izuku learned about how quirkless were treated in Japan and he wanted to see how his friends and family would behave. He then hides his quirks for many years until he reveals them to his true friends and runs away.
Ship: Izuku x Robin x Nami x Vivi x Shoka x Katsumi x Tanya