Full Moon Hero
When Midoriya was 4 years old he was diagnosed quirkless. A year later he's attacked by a villain with an infectious quirk. One he inherits in the wake of his father's death. Reeling from the loss Izuku has to navigate the intricacies of having a werewolf quirk.
Pretty much the whole story, as if Izuku was a werewolf. And how that changes everything, and at the same time nothing.
(Canon Compliant)