Dual! Parallel Trouble Adventure (1999)

Kazuki experiences hallucinations of fighting robots that no one else can see, so he should have expected trouble when the most beautiful girl in school took an interest! But there's no way he could have expected to be waylaid by a mad scientist and thrown into a parallel world with robots, aliens, and a boarding house filled with beautiful girls! He may not make it home. He may get hurt. He may go insane. But at least he gets to drive the Robots!