pic that you post the chara design similar with some Marvel cartoon or something like that...but only Japan animation make chara with big eyes and really cute...that make cartoon and anime different...
And why Clamp are leading the vote,,,
They produce manga not anime anyway...
Those ARE anime pics... famous ones at that (unless you can't recognize Trigun or Ghost in the Shell). That "Moe makes anime more anime-ish thing" sounds like pure crap but I'll let it go mostly since it is your opinion. Still, even though Moe-anime has become a big part of "current"generation anime, do take a look at anime from the previous decades. You will see a lot of interesting animation that lack your "moe" style. Heck, I don't think there was a lot of it back in the day, at least not the exaggerated form that's so rampant now.
Also, it's almost pointless to compare Kyoto Animation and CLAMP since they work on different mediums (Anime vs Manga). And as a lot of people already mentioned, CG was done by Sunrise using character designs made by CLAMP. That's all CLAMP did on it, character designs.
I would pick CLAMP (the epics: X, Chobits, Code Geass,Tsubasa OVAS, xxxHolic OVAS, Mouryou no Hako, and maybe Kobato/ MKR), but there has been some crap stuff also (exs: Tsubasa Chroicle, xxxHolic, and X Movie)
KyoAni of course. There are some reasons for such point of view.
CLAMP's manga looks too similar, personally, I don't like their art and plot.
Characters' design is a holy crap. Sorry, CLAMP fans. That's only my opinion.
KyoAni produces different stories, from comedy to drama, and does them brilliantly. This studio has done many hits and, I hope, they'll make us smile, cry or laugh again and again.