Rika Furude and her group of friends live in the small mountain village of Hinamizawa; in June 1983, they welcome transfer student Keiichi Maebara into their ranks, making him the only boy in their group. After school, they have fun playing games and spending each day living their lives to the fullest. Despite this seemingly normal routine, Keiichi begins noticing strange behavior from his friends, who seem to be hiding the town's dark secrets from him. Elsewhere, a certain person watches these increasingly unsettling events unfold and remembers all the times that this, and other similar stories, have played out. Using that knowledge, this person decides to fix these broken worlds. However, when certain variables change, the individual is faced with a horrifying realization: they have no idea what to expect or how to stop the impending tragedy. [Written by MAL Rewrite]

In the not-too-distant future, the human world has long been overpopulated. Humanity marched to the stars in search of a new home, and just as this was going on, the moon's alignment caused massive earthquakes to ripple across the world, lasting several decades. Humanity was demolished. When the land finally recovered, humanity reemerged to face this strange yet familiar world. Will we, who once lorded over this domain, still remain the masters of this world? (Source: Yu Alexius Anime Portal)

A group of enigmatic white-haired children has been spotted at different times and places in Europe for over 500 years. Always with the appearance of 11-year-olds, they behave far more mature than they should be, never grow old, and seem to have supernatural power. What they have been seeking is a girl, and the only clue they have is a picture with a crescent moon. Now, in the year of 2012, an athletic boy named Tohma is about to be involved in this centuries-long mystery. (Source: ANN)

Second season of Magia Record: Mahou Shoujo Madoka☆Magica Gaiden (TV).