>not liking Prison School
You do have "shit taste" or rather unrefined ones if you can refer to perverted chinese cartoons tastes as refined, but that's just because you haven't seen too much anime, everybody started off with shows like those or worse. At least it's not Naruto and Fairy Tail.
Since you enjoyed KlK so much you're bound to like Gurren Lagann. Basically the same thing, but with giant robots and manly men (don't worry it also have pretty girls).
You may also like Parasyte, it's a lot like Attack on Titan, but less shit in my humble opinion. Humanity vs intelligent and overpowered "zombies", MC turns from a faggot into a badass, a lot of body modification gore, all the good stuff.
From your list I guess you may also enjoy Fate/Zero, Fate/Stay Night: Unlimited Blade works (both of these are worth it for the sound and animation quality alone) and Code Geass. If you want to see pretty art and animation also try Garden of words and 5 centimeters per second (these 2 are movies and not too long).
If you want to try something slightly different in order to expand your horizons also watch:
Berserk (the series, not the movies) if you can stand old shows with terrible animation. Other than that it's amazing, dark medieval character-driven story with war, politics and supernatural stuff. It's an adaptation of what's widely accepted as the best manga ever written, if you're ever going to read one, try this one.
Spice and wolf, a series about medieval economics and a romance between some merchant a wolf goddess with great character interactions. Despite what the first episode might make you believe it's not furry fanservice. Also it's probably the only anime where the dub is better than the sub.
Rokka no Yuusha, this one has a very slow pace ( the main plot of the season is revealed around episode 5). It's a mystery/action in a generic fantasy setting.
Ore Monogatari, cute romance that will give you diabetes. MC is the biggest highschooler you can imagine.
Neon Genesis Evangelion (and then the End of Evangelion). Somehow I doubt you'll like this one, but it's one of the most well-known and praised anime ever made. Pretty old, so the animation and sound won't blow your mind, it's a psychological drama with giant robots and a lot of 2deep4u shit.
These are all entry-level anime (maybe except for the last one) so you'll probably find some things you'll enjoy here.