Extraordinary Anime

This list is so I can remember what I have seen, so it's got junk on it.
The list is not everything that I have seen, because some stuff really isn't worth remembering.
(Hi there, Persona, Tokyo ESP, Nobunagun, Tribe Cool Crew, One Week Friends, Akuma no Riddle, Gokukoku no Brynhildr, Phi Brain, Xam'd Lost Memories, and many more. )
I post repeats because they are so good in multiple categories.

Just good fun, and younger memories, or just other: (almost all are not great)

Kiba
Spiral
Hikaru No Go
SpeedGrapher
Black Butler
^childhood introduction to anime that don't fit other categories, but I still like for that.
---
(actiony+funny)
Ao No Exorcist
Noragami
Nanatsu no Taizai
Fooly Cooly
Black Lagoon
Dragon Ball Z
No Game No Life

(actiony / thoughtful)
Jormungand
Junketsu no Maria
Maoyuu Maou Yuusha
Black Bullet
Yumekui Merry
Chihayafuru
Gosick
Dennou Coil

(thoughtful / unique)
Mekakucity Actors
Ping Pong The Animation
Princess Tutu
Higurashi When They Cry
Samurai Flamenco
Blue Gender
Cowboy Bebop

(forgettable)
Jojo's Bizarre Adventure: Stardust Crusaders
Tokyo Ghoul
Dramatical Murder
[C] The Money of Soul and Possibility Control
Darker than Black
Space Dandy
Eureka 7
Elfen Lied
---
v special, hard to categorize
Usagi Drop
Hourou Musuko
No. 6

Philosophic:
(not in order)

Serial Experiments Lain
Kino No Tabi
Ergo Proxy
Mushishi
House of Five Leaves
Time of Eve
Kaiba

I liked it because it had tech/fantasy I have never seen before:
(not in order)

Fractale
Shinseki Yori
PsychoPass
Gatchaman Crowds
Ghost in the Shell
Paranoia Agent
Suisei no Garugantia
Time of Eve
Sidonia No Kishi

I liked it because it made me cry:
(Not in order)

Casshern Sins
Wolf's Rain
Witch Hunter Robin
Michiko to Hatchin
Paranoia Agent
Ergo Proxy
Mushishi
Kino No Tabi
Penguin Drum
Zankyou no Terror
Shigatsu wa Kimi no Uso

I liked it because I have a thing for characters that are weird or shy or emotionless:
(sort of in order from personal experience of worst to best, last section is about characters instead of the anime as a whole)

Mirai Nikki
Nazo No Kanjo X
Blood Lad
Black Butler
Hataraku Maou-sama
Un-Go
Another
Jormungand
Wolf's Rain
Say I Love You
Free!
Noragami
Litchi De Hikari
Death Note
No Game No Life
Suisei no Garugantia
Spawn
Casshern Sins
Witch Hunter Robin
Zankyou no Terror
Sidonia No Kishi
Serial Experiments Lain
House of Five Leaves
Ergo Proxy
Mushishi
------------
Amnesia (doesn't understand)
Sankarea (weird impish)
Hyouka (lazy)
Yahari Ore no Seishun Love Come wa Machigatteiru (mean, cares, bitter)
No. 6
Kimi Ni Todoke

Will be updated as I see fit. The new season of Sidonia and SNAFU I expect to only add good things to the series.