FROSTBITE

Yuki Todoroki daughter of the Todoroki family witness the hardship and brutality her father caused on her family trying to create "the one", the one that could finally defeat All Might his long competitor. He yarns to either be the greatest and become number one hero or his offspring to become it and surpass both of them.

Yuki deals with becoming a AU student with Shoto Todoroki her brother and the hard training they will face as well as punishment for their trouble with her future classmates. Yuki one day stumbles upon a guy with long blue hair, it was the league of villains they kidnapped her to convince her to join her team.
What will she do to stop these growing feelings of pity and care, for this evil villain who wants to destroy everything and everyone she cares for.