Date A Live - Season 4

Ordinary high school boy Shidou discovers a mysterious girl at ground zero of a recent spacequake. Shidou learns, through his sister Kotori, that the girl is one of the Spirits: mystical creatures responsible for the spacequakes. Shidou is recruited to help "seal" the spirits and end their threat to mankind. There’s just one catch: the only way to seal a spirit—is to make her fall in love with you.