Kill la Kill, Shimoneta to Iu Gainen ga Sonzai Shinai Taikutsu na Sekai Recommendations
There are a few superficial similarity that can be drawn with both shows. One being that they both have a female antagonist being the top of a their respected school or academies. And also that their mothers have even more control then the daughters. In kill la kill, it could be argued that show's antithesis are fighting about clothes and fashion, while Shimoneta, they are fighting for the suppression of anything sexual or promiscuous. Also both shows are incredibly ecchi and lewd. They differ from being a fighting show and the latter strictly being a comedy.
Both shows can be seen as satirical to what they're making fun of, and contain copious amounts of fanservice. Along with similarities with certain characters and roles, Kill la Kill and Shimoneta are both over-the-top comedies that are best viewed with your brain shut off. Suffice to say, if you liked one, you'll (probably) like the other.