Battle Angel Alita

The people and cyborgs of the Scrap Yard live beneath the flying city of Tiphares, whose inhabitants dump their junk in the Scrap Yard and rules above it's inhabitants. One day doc Ido, a former Tipharean citizen, finds the intact head of young cyborg-girl in a vast pile of scrap. He takes her in and gives her a body and the name Alita. Alita then discovers since long forgotten fighting techniques hidden in her body and decides to become a hunter-warrior like Ido.