The only reason Midoriya got to talking with Ashido was because his bandages needed reapplying. Still, this small hand of fate was all that was needed to spark a friendship and a far closer bond between the two classmates. I honestly have no idea what their ship name is, so I'ma call it MinaDeku

The First Generation of Quirked individuals had it rough. Yuuei is built as a school for the Quriked, but is in reality, just a way for the Quirkless to keep the Quirked in one place, contained. Faced with a world that despises and hates them, Midoriya Izuku and Ashido Mina and others join the very first generation of Heroes to change this worlds hatred of Quirks. MinaDeku,Kacchako

All hail the Dinkster.

Six years of constant abuse breaks Izuku, until he finally starts to believe everything said about him - He can't be a Hero without a Quirk. It isn't until a chance encounter that he remembers his drive not to give up. Another five years later, he finds himself in Yuuei with the pink girl he met before - Who seems to have forgotten him entirely. Izumina, background ships