No Title (G-Power!)

When a new girl joins her class, Madoka Kaname thinks she recognizes the mysterious, dark-haired transfer student from one of her dreams…a dream where she is approached by a catlike creature who offers Madoka an opportunity to change destiny. Madoka had always thought magic was the stuff of fantasy…until she sees the transfer student fighting with the very cat being from her dream! And just like in Madoka’s dream, the cat gives her a choice. Will Madoka become a magical girl in exchange for her dearest desire? What will be the cost of having her wish come true? (Source: Yen Press)

The story is set in a futuristic and peaceful world made possible thanks to the invention of the Manifestation Engine, which solved an energy crisis five years prior. On the island of Izu Ōshima, Akane Isshiki lives a peaceful life with her family. When the world is threatened by an alien force known as the Alone, Akane is given a special key by her grandfather, Kenjirou, which allows her to access the Vivid System, which grants her special powers. Joined by her friends Aoi, Wakaba and Himawari, Akane fights to protect the world from the Alone.