Boku no kanojo wa saibôgu (2008)

Cyborg She follows the burgeoning romance between an ordinary college student and his sassy love interest - who happens to be a time-traveling cyborg with superhuman powers. One day, a beautiful cyborg girl appears in front of a dull university student. Even though the cyborg starts to like him, she can’t truly feel emotions, so the boy has no choice but to say goodbye. Missing her, he continues his lonely existence. One day, a disastrous earthquake hits Tokyo and the cyborg girl saves his life. In that moment, she starts to have feelings like a real human being.