I'll keep this pretty short and sweet.
Kill la Kill was an amazing anime. It's got amazing action scenes and a great great GREAT soundtrack. The music really did it for me in this one. It's very fanservice-y and I believe they're just making fun of that sort of things in other animes.
This show is one where you don't have to think much, everyone is super simplistic and not that deep, but you do have some development here and there.
If you like strong female protagonists, and OK with fanservice, but like comedy and cool action scenes as well, then check it out. It's ridiculous but it's great fun.