My faves are Kaiba, Shinsekai Yori, Shiki, Kancolle, Madoka etc etc. I have a ton of anime that I loved and enjoyed. Hibike Euphonium is another of my top faves, Zankyou no Terror, Noragami, Hyouka, the list goes on~
I will entertain any genre, I have low tolerance for harems unless the rest of the plot is good and the characters are well developed. I can't stand a bunch of mindless female leads. I especially love horror and mystery, but I'll watch SoL, musical, supernatural, fantasy, sci-fi, etc no problem. I watch anime seasonally for the most part so I am not too picky when it comes to giving something a go!