Nadesico

Summary

Nadesico manga summary: An alien armada from Jupiter has amassed enough power to destroy all of Earth's defenses. Earth's final hope lies in the Space Battleship Nadesico, a ship created using recently discovered extraterrestrial technology.
Can the Nadesico's rag-tag crew overcome their idiosyncrasies and defeat the alien fleet, or will Earth's last hope be lost?

The manga differs greatly from the anime