Seikimatsu Occult Gakuin

In the year 2012, the world is a wasteland invaded by aliens. Time travelers like Fumiaki are sent back to the year 1999 in order to destroy the "Nostradamus Key" to prevent the apocalypse. In 1999, Maya, the daughter of the former principal of Waldstein Academy (a.k.a. Occult Academy), returns to the academy to replace her father. Despising her father's obsession with the occult, Maya is hell-bent on running the school into the ground out of spite. Her plan is interrupted when she meets Fumiaki and learns of the forthcoming destruction of the world. They form a pact to look for the key.

(Source: NIS America)