Comment Girlfriend - Voyager (Score 1) 634
I think the most appealing to a girl would be Voyager, because of the fair amount of good female character in lead roles and the fact that men and women are treated as equal, up to the uniform. I personally think it's pretty impressive of how women have lead roles and are not just sidekicks (like in Doctor Who).
That, if she's not the pretty princess type of girl, of course.