These are all great suggestions but I think it would be helpful to give a small intro to some of them as they are not quite what they seem on the surface. For example, "Kill La Kill" is mostly about exposing the absurdity of fan service in Anime. "One Punch Man" shows that being the best at something is actually the worst thing ever. And "FLCL" is really weird - I truly don't know what it's trying to say.
It’s by the same director as Gurren Lagann, and is a strange mix of excessive fan service and reverse Bechdel Test failure.