From memory (may not be accurate): Kill La Kill is a product of Studio Trigger, a studio that broke off of some other studio, when the director of Gurren Laggann decided he wanted to make his own anime. They made an anime called something like Inferno Cop I think, that is supposed to be very good, but I haven't watched it. They got really popular when they were a part of Anime Mirai 2013 and came out with Little Witch Academia, which is a one-episode short that is very well done. They made a kick-starter for a LWA episode 2 (of which I'm a backer :) ), which they will do after KLK is done.