MBA:CF features a variety of magical girls from different series fighting it out for victory.
The game uses a 3D combat system where the camera remains behind the chosen character (aside from moments where the camera breaks away to show off flashy attacks). The girls fly through the air and can change direction and height easily. Melee and projectile attacks both normal and special are available to attack the enemy with, as well as having access to a number of techniques such as guarding, dashing and warping.
Official URLOfficial site (JP).
I won't lie. I got Magical Battle Arena purely because it promised cute girls flying...