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Gurren-Lagann's DVD 3 summary:

Seven years have passed since the final battle against Lord Genome and the Beastmen. Mankind is now thriving on the surface of the planet. Lordgenome's fallen capital has now become humanity's beacon of hope, Kamina City, and lead by Simon and the other members of Team Dai-Gurren it leads the population towards a future of happiness. The suffering of the people forced to live underground now seems like a distant memory.

Instead of struggling to survive day after day, Simon finds himself dealing with civic duties of keeping the residents of the metropolis happy. However, true to Lord Genome's final words, when the population of humans on the planet reaches 1,000,000 people, an even greater threat falls upon mankind. Now, unwillingly part of a million-year-long galactic war that extends across the entire Universe, Simon must fight against destiny to save the woman he loves... and maybe Earth in the process!