Mouretsu Pirates, Rinne no Lagrange Recommendations
Both Anime are sci-fi where the girls can kick butt and be something more then just your stereotypical girls. There is a use of bright colors and a wide cast of characters.
Both series are first of all, directed by Tatsuo Sato.
Furthermore, both series focuses strong willed female protagonists. They originally had a carefree school life till sudden circumstances made them who they are in the series later on. The characters she later meets are also intriguing and strong willed, independent, and thoughtful.
There is drama, sci-fi, action, but no romance. But who needs romance in a series like this anyways when the setting of the story takes place in a futuristic world with kickass music, comedy, and aerial action.
Mouretsu Space Pirates and Rinne no Lagrange share the same frequency and wavelength, you want space-themed, strong girl-protagonist-adventures filled with cutesy, a pinch of slice-of-life elements?
These two shows, with matching number of episodes, won't disappoint you.
The universe they are both in must have existed in utopia (or a faraway future) where the destructive sins of humanity are long-forgotten or [almost] nonexistent, thus providing middle-range action and twists that won't haunt further on "cause and effects".
And oh, both of these anime have Ai Kayano in them [as Kayanon's bday is today, Sept. 13].
Kinda similiar base of a third grade yuri series with a lot of sci-fi and mecha similiar to the flower declaration of your heart