Mouretsu Pirates, AKB0048 Recommendations
Both feature females as main characters, both story lines strongly involves sci-fi and space elements. There is like the same amount of drama and action in both series although you can find comedy a bit more often in Mouretsu Pirates and a bit more drama on AKB0048.
Neither one of them follows the "omnipotent character-world belongs to me" formula (i.e. Bleach where nobody can do a usefull thing without K. Ichigo or Evangelion where Shinji is the only one or etc.) instead, the main and their team growns together and the burden of the plot falls on the main character and their team almost equally.