If you like psychological stuff:
Ergo proxy
Evangelion
Psycho Pass
If you're after action:
Fate/Zero (many great things about it besides this)
Not an anime, technically, but Avatar: The last Airbender and Korra have some of the best action of anything animated.
Fullmetal...(again)
Feels:
Anohana (Highly recommended)
Angel Beats (though I think the one above is executed better)
Humor/fanservice:
Monogatari. That is all.