Uchuu no Stellvia, Mouretsu Pirates Recommendations
An ordinary student gets the chance of a lifetime as she embarks on a space adventure. Both series are helmed by the same director and employ similar graphics for its spaceship models.
Uchuu no Stellvia and Moretsu Pirates each feature a female protagonist in a space setting. In both series, she is simply a school girl but ultimately plays an important role in shaping the lives of others.