Parallel Works is an official Gurren-Lagann project animated by Gainax. It is a series of music videos using the soundtrack of the TV series. Each one is directed by a different director. They don't have to make any canon sense, they just have to be based on Gurren-Lagann. They can be about whatever each director wants them to be about.
If you missed last weeks, then here it is: http://www.megaupload.com/?d=xm1dza6a
This week is apparently Libera Me "From Hell" set to a video of Lord Genome fighting the Anti-Spirals.