If you liked the Mouretsu Pirates anime, the Anime-Planet community thinks you'd like:
As the sole member of a club dedicated to helping others, do-gooder Madoka Kyouno didn't hesitate in helping save a girl from drowning one day. But little did she know that she actually saved an alien named Lan, and that soon, Madoka herself would be in the pilot of a giant mecha...
The above is a preliminary synopsis that will be updated once more episodes of the anime have been released.
In both the protagonists are female and end up becoming involved in outer space warfare. If you like one try out the other, they have a similar feel to them.
Both of these shows are about a school girl who is suddenly put into a situation in which she must pilot a machine. Both take place in a futuristic setting, and both involve interplanetary activity. If you like the idea of students being dragged out of school in order to fulfill a sci-fi mission, watch either one of these.
Made by the same anime director and actually released at the same time, both being series that thrust teenage anime girls into a plot where they must balance science fiction action with their 'normal' school life (and adventure can never be an excuse for bad grades)... that one show is about space pirates and the other is about mecha fights feels almost incidental.
If you enjoyed Moretsu Pirates, I think there's a very good chance you'll like Rinne no Lagrange.
It is the year 2356 AD, 189 years after a shockwave from a distant supernova decimated the Earth. Since that fateful day, humanity has begun training for a final mission to protect the planet from the inevitable oncoming 2nd shockwave - a mission whose failure means the annihilation of mankind. For Katase and her friends, their training at the foundation Stellvia is just the beginning of an adventure that could lead to saving the world, or seeing its end...
At the time of this recommendation I've only seen 4 episodes of MP, but regardless, if you are enjoying the school life in space elements of MP, check out the vastly superior Stellvia.
They're both really similar in that they involve High School kids making a life for themselves in the future of Space. Stellvia is about Space around Earth, whereas MP is about places beyond Earth (albeit centers around a planet similar to Earth). I think anyone who enjoys one of them will find charm in the other as well.
Gonzo does it again with this action-packed mecha comedy. She's an ordinary high school girl. He's a counterterror agent assigned to protect her from those who would steal the information locked in her mind. OK, so she's not so normal after all. Armored Slave battles and lovers' spats abound as Sousuke and his comrades try to track down the mysterious Gauln before it's too late.
Mouretsu Pirates and FMP mix elements of school life with elements of military/sci-fi, and both feature schoolgirls filling unusual roles like captain and admiral. If you like cute girls with big personalities and a light side of sci-fi, you're in for a treat on either of these shows.
Both Bodacious Space Pirates and Girls und Panzer are about schoolgirls in short skirts doing cute and crazy things. Like becoming the captain of a pirate ship in space. Or commanding tanks for a school elective sport.
Both shows keep fanservice to a minimum and are character focused, with a large cast of secondary characters who you don't really need to keep track of. They are light,hearted and easy to watch. So you should watch them both. Now.
Sora is a sixteen year old girl who has travelled to the US to join the Kaleido Stage, one of the greatest circuses in existence. However, as luck would have it, she arrives to the audition late, which almost costs her the chance of a lifetime. Fortunately, she manages to join the Kaleido Stage anyways due to the compassion of Kalos, the owner of the troupe. With the help of her friends and Fool, the perverted spirit of the stage who has the ability to predict the future, Sora will overcome trials and tribulations and she struggles to become the Kaleido Star.
On the surface the two anime don't seem like they have a lot in common but the thing that links them are the characters. If you enjoyed the characters from ether of these anime you'll love the other.