Quiz Magic Academy: The Original Animation 2

There is a magical academy that is located on a floating island in the sky. This OVA is about the students of one of the academy's classes, who's only chance not to fail the semester is to win a competition where they must show off their magic skills.

Unaired episode bundled with the ninth light novel volume of Kuusen Madoushi Kouhosei no Kyoukan.

Koihime Musou OVA.

This is a series of OADs covering some of the Magic World manga arc by Ken Akamatsu, starting with chapters 184 through 188. Unlike the first and second anime seasons, the character designs are very accurate.