I love shows where the main character slowly descends into insanity trying to accomplish something.
Re:ZERO, and Steins;Gate are good examples of this
Shows that slowly piece themselves together:
Haruhi
The Tatami Galaxy
Weird but very cool:
Shinsekai Yori (psycological)
The Tatami Galaxy
Serial Experiments Lain
Funny (not slapstick humor)
Daily Lives of Highschool Boys (high schoolers being high schoolers
Pop Team Epic (random humor)
Nichijou
Shows I just like:
Oregairu (romcom, only good because of the main character)
JoJo (you should know already)
Clannad (sad, but slow paced)
Studio Ghibli movies (really good animated movies, rip Isao Takahata
Death Note (main character is the villain, and the mystery elements are amazing)
Grisaia no Kaijitsu/Meikyuu/Rakuen (harem [kinda] with a strong main character and some good humor) 18+ imagery
Rainbow long title thing (good show that shows true friendship between young lads in a Japanese prison that are abused by that time's standards)
Hajime no Ippo (boxing, characters have personality and aren't thrown away, good animation)