Chou Yuu Sekai: BEING THE REALITY

A world where mysterious beings called "Disasters" continually threaten the peace of the world. A special military unit called Saber is formed to oppose Disaster. Private conglomerates and the independent self-defense organization Blade also form, and advance on the enemy. Noii is a high school student who yearns to join Saber and fight Disaster. After a mysterious girl named Motis transfers into his class, his normal life completely changes.

(Source: Anime News Network)