Choujigen Kakumei Anime: Dimension High School

OVAs bundled with volumes 42, 43 & 46 of the Aa! Megami-sama! manga.

In the future, the moon is a habitable place with atmosphere and gravity and also a famous tourist attraction. There are also stories about a "long ears" creature like rabbits on the moon who can use magic. Haruka Daichi heads off to the moon during a summer holiday alone because he likes to see the long ears creature by himself. However, he get himself dragged into an ancient conflict between two ancient moon races: the "long ears" race and Jado race. Jado race wanted to conquer the universe and resurrect ancient evil powers to seize control of the Earth. Now the "long ears" race and Daichi must seek three warriors who could use magic to release Mado King to fight Jado race and to release "long ears" race's kingdom, Rabiluna, from Jado race. (Source: AniDB)

In a future not too distant from ours, Nanagoo City is a beautiful city in Japan surrounded by mountains and ocean-sides. The sensitive, adolescent girls who live there are each opening up doors to their own, unique possibilities. No one wants to forget the path they take to adulthood. (Source: ANN)

Kiki, a 13-year-old witch-in-training, must spend a year living on her own in a distant town in order to become a full-fledged witch. Leaving her family and friends, Kiki undertakes this tradition when she flies out into the open world atop her broomstick with her black cat Jiji. As she settles down in the coastal town of Koriko, Kiki struggles to adapt and ends up wandering the streets with no place to stay—until she encounters Osono, who offers Kiki boarding in exchange for making deliveries for her small bakery. Before long, Kiki decides to open her own courier service by broomstick, beginning her journey to independence. In attempting to find her place among the townsfolk, Kiki brings with her exciting new experiences and comes to understand the true meaning of responsibility. [Written by MAL Rewrite]