Basically, normal guy enters high school, meets eccentric girl who wants to hang out with espers, time travelers, and aliens. Girl then forms a club dedicated to the purpose of finding the three of these, along with other supernatural events and a mysterious transfer student. All of thse five things pop up, crazy thins happen, it turns out the girl has godlike powers and her wish for all this to happen was what made it happen, and at any cost knowledge of supernatural events must be kept away from her to prevent the destruction of the universe.