Date A Live (デート・ア・ライブ) PV [HD 720p]

Main Title: Date A Live
Official Title: デート・ア・ライブ

Official website

Synopsis:
Itsuka Shido is a high school boy. On the last day of the spring holidays, an explosion destroys the town and a girl in armor appears in front of him. Shido's sister-in-law Kotori tells him that the girl is called "Special Disasterous Designated Creature: Spirit", which causes a timespace quake. Kotori disclosed that she is the commander of anti-spirit organization Ratatosk and orders him to go out on a date with the spirit girl. Kotori says "I don't ask you to beat the spirit. Just let her fall in love with you and save the world."

According to Fujimishobo, light novel "Date A Live" was announced to get an anime adaptation.
Very interesting...