Cosmic Psycho

Kazuyuki is just an ordinary Japanese high-school student... or so he was before he saw a strange dream. In that dream, a girl was calling him from the outer space, imploring him to help her... The next day, Kazuyuki receives a strange phone call, after which he finds himself on board of a space ship! The girl from his dream appears and introduces herself: she is Marin, one of the members of a special squad that fights mysterious alien beings known as EX. Apparently, her message through time went to the wrong recipient, and now Kazuyuki is "stuck" in the end of the twenty-third century, reluctantly helping the beautiful ladies of the assault team to fight aliens - and perhaps engage in other, more pleasant activities.

[From Moby Games]