As I mentioned this is going to be a list of anime I've seen completely. I might miss. But I'm going to put as many anime as possible.

A Bridge to the Starry Skies
A Dark Rabbit Has Seven Lives
AKB0048
Alien 9
Angel Beats
Another
Agent Aika
Attack on Titan
AzuManga Daioh
Birdy Decoded
Brigadoon
Chobits
Clannad + Clannad After Story
Dangan Ronpa
Descendants of Darkness
Devil May Cry
DNA2
Dog and Scissors
Durarara
Elfen Lied
Excel Saga
Free!
Freezing
Full Metal Alchemist
Full Metal Alchemist Brotherhood
Full Metal Panic
Full Metal Panic 2nd Raid
Full Metal Panic Fuumofu
Genesis of Aquarion
Girl’s Bravo
Girls High
Gourmet Girl Graffiti [AKA Anime food porn]
Gundam 00
Gundam 08th MS Team
Gundam Wing
Gurren Laggan
High School of the Dead
Jinki Extend
JoJo’s Bizarre Adventure [So far. Part 4 coming soon]
Kanashimi Girl Meets Girl
Kill la Kill
Little Busters
Lucky Star
Maburaho
Magical Play
Martial Hearts
Melancholy of Haruhi Suzumiya
Mirai Nikki [Future Diary]
Narutaru [This one is ******** up]
Negima!?
Neon Genesis Enangelion
Nerima Daikon Brothers
Nightwalker
Ouran High School Host Club
Otome Youkai Zakuro
Popotan
Powepuff Girls Z [PPG Fans should see this one]
Princesss Tutu
Puella Magi Madoka Magica
Puni Puni Poemy
Revolutionary Girl Utena
R.O.D.
Rozen Maiden
Rozen Maiden: Träumend
Rozen Maiden – Zurückspulen
Rosario + Vampire
Sailor Moon
Sailor Moon Crystal
School Days
School Rumble
Shiki
Shugo Chara [Most of it. I didn’t care for the final part much]
Skip Beat!
Sorcerer Hunters
Strike Witches
Tenchi Muyo
Tenchi Universe
Tenchi in Tokyo
The Wallflower
The Wold God Only Knows
This Ugly Yet Beautiful World
Vandread
Umineko no Naku Koro Ni [This needs a season 2]
Wedding Peach
When They Cry [Higurashi no Naku Koro Ni + Kai + Rei]
Witch Blade
xxxHolic
Zettai Boei Leviatan

Movies

Bleach: Memories of Nobody
Full Metal Alchemist Conqueror of Shamballa
Girl Who Leapt Though Time
Kite
Kite Runner
Perfect Blue
Saiyuki: Requiem
Wolf Children