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.
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(Source: Anime News Network)