Valis III (1990)

Is it a game?! Is it an anime?!

After Yuko has defeated the evil Rogles, peace descended upon Earth and the magical world of Vecanti. But a new threat has arisen: an enigmatic man named Glames from the Dark World, possessor of a sword named Leethus, is planning to conquer both Earth and Vecanti, convinced that there is no other way to save his world from imminent destruction. A young girl from the Dark World named Cham escapes from Glames, and asks Yuko to help her stop him with the aid of her Valis sword.