Tengen Toppa Gurren Lagann (roughly "Heaven-Piercing Crimson Face") is what happens when you ask Studio Gainax to create a Saturday Morning Cartoon.
Lonely orphan Simon (pronounced "Shi-mon" in Japanese and "SEE-mon" in the dub) lives in an underground village, digging for ancient artifacts and eating pigmoles. His self-appointed big brother, Kamina, is a hot-headed idiot gang leader/delinquent who dreams of going to the "Surface" like his father, despite the village elder's insistence that there's no such thing.
Then Simon discovers a strange drill-shaped key and, later on, a pint-sized mecha that seems to respond to the key.
Taking his "brother" to see it, they're interrupted by, in turn, the elder, the roof collapsing, a massive bestial robotic head (which Kamina faces off against with just a katana), and Yoko, a woman with a very big gun and very little clothing firing at said beast-mecha — a "Gunmen".*
Thus begins a rollercoaster ride of Fanservice, over-the-top fight scenes between mecha, hot-bloodedness, epic sunglasses, massive Badassery, and mind-blowing heroism. Great fun, and doesn't take itself seriously at all. Don't try reading any science into it, common theory (and near Word Of God) holds that the Universe is actually governed by Rule Of Cool and Rule of Funny. On Mohs Scale of Science Fiction Hardness, it ranks as one of the softest.
There have been two Compilation Movies (with some new scenes to help tie things together, and provide movie-original climaxes)—Gurren-hen ("Crimson Lotus Chapter") and Lagann-hen ("Spiral Stone Chapter"). There are also three manga: one of which is pretty much just a slightly altered version of the anime, another which is a hilariously awesome High School AU, and a third set in an Alternate Universe focusing on Simon and Nia. There's also a hilarious Buddy Cop Show Fan Comic by the name of DOUBLE K. And it is glorious.
Was going to be released by ADV Films, but was suddenly lifted from their license list and given to Bandai. The English dub, under the title Gurren Lagann, began showing in America on SyFy right before Now and Then, Here and There, and then MD Geist. SyFy has rerun it three times.