Meiji Tokyo Renka Movie 1: Yumihari no Serenade

On an evening lit by a crimson full moon, an ordinary high school girl named Mei Ayazuki meets a self-proclaimed magician named Charlie at a festival. Through Charlie's magic, she time-travels to the Meiji era in Tokyo, where she meets and falls in love with various great historical figures from that time period.

(Source: ANN)