 If you liked
Top wo Nerae! Gunbuster
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 ...then you might like
Battle Athletess Daiundoukai (TV)
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Main heroines of these two anime, Akari and Noriko are similar. At the beginning of the story they both are weak but talented girls who want to improve their sport skills. Both are bullied by their classmates but they overdo it and go ahead.
Both of them go to space where they have to deal with the aliens.