LucasRTS said:Anime + Movies (alphabetic order)
.hack//Sign (Underrated)
Akira
Aria the Origination
Ashita no Joe + Ashita no Joe 2 (Epic shit. Underwatched)
Baccano!
Barakamon
Berserk (Read the manga as well)
Black Lagoon
Byousoku 5 Centimeter
Captain Harlock (movie)
Casshern Sins
Chihayafuru 1 + Chihayafuru 2
Code Geass R1/R2 (Overrated)
Cowboy Bebop + Movies
Cross Game (Underwatched)
Darker than Black: Kuro no Keiyakusha (Overrated)
Death Billiards
Death Note
Dennou Coil
Detective Conan (more than 750 episodes. If you can't handle this many episodes, just watch the movies)
Ergo Proxy
Eureka Seven
Eve no Jikan
Fate/Zero + Stay Night series (
http://myanimelist.net/forum/?topicid=1286059 - Check this if you are new to Fate) - I recommend you to read the VN
FLCL
Fullmetal Alchemist + Fullmetal Alchemist: Brotherhood
Full Metal Panic! + The 2nd Raid
Ghost in the Shell: Stand Alone Complex + 2nd GIG + Ghost in the Shell + Ghost in the Shell 2.0
Ginga Eiyuu Densetsu + Movies (A legend of the anime medium. Maybe the greatest anime production in its history)
Gintama + Gintama' + Enchousen + Movies (Overrated)
Great Teacher Onizuka
Hachimitsu to Clover
Haibane Renmei
Haikyuu!!
Hajime no Ippo + New Challenger + Rising
Hellsing Ultimate (Hellsing is shit but this is better)
Howl no Ugoku Shiro
Hunter x Hunter (2011)
Jin-Rou
JoJo's Bizarre Adventure (2012) + Stardust Crusaders + SC 2nd season (don't need to watch the 2000 version)
Kaiba (Underwatched)
Kaiji: Ultimate Survivor + Kaiji Hakairoku Hen
Kino no Tabi: The Beautiful World
Kiseijuu: Sei no Kakuritsu (Parasyte)
Kokoro Connect
Log Horizon + Log Horizon 2nd Season (1st season is better)
Macross + Macross: Do You Remember Love? (Underwatched)
Mahou Shoujo Madoka Magica + Movies (Overrated)
Mind Game (Underrated)
Mobile Suit Gundam MS IGLOO + Mobile Suit Gundam + The 08th MS Team + 0080: War in the Pocket + 0083: Stardust Memory + Zeta Gundam + ZZ + Char's Counterattack + Unicorn + F91 + Victory
Monogatari Series (Overrated)
Mononoke
Mononoke Hime
Monster
Mushishi + Zoku Shou + ZS 2nd season
Nana
Neon Genesis Evangelion + Movies (Many people dislike this anime, but I recommend 100%. Best mecha + sci-fi)
NHK Ni Youkoso!
Nobunaga Concerto (Underrated and Underwatched)
Nodame Cantabile
One Outs
Ookami to Koushinryou + Ookami to Koushinryou 2
Perfect Blue
Phantom: Requiem for the Phantom
Ping Pong The Animation (Best 2014 anime)
Planetes
Princess Tutu
Psycho-Pass (2nd season sucks)
Redline
Rose of Versailles (Maybe the best shoujo ever made?)
Rurouni Kenshin - Tsuiokuhen (Better than the TV series)
Samurai Champloo
Sen to Chihiro no Kamikakushi
Serial Experiments Lain (Underrated)
Sidonia no Kishi (Many people dislike this, but it's good)
Shingeki no Bahamut: Genesis (Underrated)
Shingeki no Kyojin (Overrated)
Shinsekai Yori
Shoujo Kakumei Utena
Slam Dunk
Soul Eater
Steins;Gate + Movies
Stranger: Mukou Hadan
Tengen Toppa Gurren Lagan
Tenkuu no Escaflowne (Underrated)
Tenshi no Tamago (Underrated and Underwatched)
Texhnolyze (Underrated and Underwatched)
Tokyo Godfathers
Touch (Underwatched)
Trigun
Tsumiki no Ie
Turn A Gundam
Uchuu Kaizoku Captain Harlock
Uchuu Kyoudai
Uchuu Senkan Yamato (Underwatched)
Uchuu Senkan Yamato 2199 (Underwatched)
Usagi Drop
Violence Jack Movies (Underrated and Underwatched)
White Album 2
Yojouhan Shinwa Taikei (Masterpiece)
Yu Yu Hakusho
Thank you.