The Anime List:
Here are just about all of the Anime (including American 'toons handled by Tokyo Movie Shinsha) I've seen, in the best possible chronological order, dating from the mid-to-late 80s to today...

Antiquity~1994
Thunder Cats, Voltron, GI Joe, Transformers, Tiny Toon Adventures, Talespin, Chip and Dale's Rescue Rangers, Duck Tales, G Force

1995
Teknoman, Robot Carnival, Vampire Hunter D

1996~1997
Samurai Pizza Cats, Sailor Moon, Wicked City, Ninja Scroll, Guy: Awakening of the Devil, Guy II: Second Target, that'd be GUY Double Target, then. La Blue Girl 6, Project A-Ko, 3x3 Eyes

1998
Neon Genesis Evangelion, Devil Hunter Yohko, Samurai Shodown, Macross (under the ROBOTECH veil; I originally stood tuned to see more of those Star Wars ATST lookalikes...), Fatal Fury, Galaxy Express 999, KI-ME-RA, Macross 2 The Movie, The Venus Wars, Demon City Shinjuku, Dominion Tank Police 1 and 2

1999
My Dear Marie, KITE, Macross Plus, Princess Rouge, Perfect Blue, The Five Star Stories, Hyper Speed Grandoll, Miyuki-Chan in Wonderland, The Vision of Escaflowne, Digital Monsters

2000
The Tale of Genji, Monster Rancher, Flint the Time Detective, X, Grave of the Fireflies, The Silent Service, Majo no takkyubin (The Witch's Delivery Service, a.k.a. Kiki's...), Macron 1, Sol Bianca, Gundam W (whenever it popped up), the Sailor Moon R movie, Generator Gawl, Gasaraki, Legend of Crystania, Steam Detectives, To Heart, His/Hers Circumstances, Digimon Zero Two ("Digi armor energize", indeed..), Amazing Nurse Nanako, Betterman, King of Braves Gaogaigar, Tenchi Universe, Tenchi in Tokyo, Di Gi Charat, Maison Ikkoku, Dragonball Z Rebirth of Fusion: Goku and Vegita, Sin

2001
Princess Mononoke, Outlaw Star, Salamander (YES, SALAMANDER!), Variable Geo, Sakura Diaries, The Big O, Dragonball Z, Sword for Truth, Project A-ko 4 FINAL, My Neighbor Totoro

2002
Digimon (the 3 'movies' spliced into 1), Digimon Tamers, Zoids, Cool Devices, Escaflowne; Girl from Gaea, Metropolis, Akira, Cowboy Bebop, Advancer Tina, F3, Yu Gi Oh!, Fushigi Yugi, Ghost in the Shell, Serial Experiments Lain

2003
Soldier of Minerva, Psycho Private Lesson, Martian Successor Nadesico, Chobits, Love Hina, Love Hina Again, Salamander: Gofer no Yabou, Salamander: Meditation of Paora, Di Gi Charat- Hoshi no Tabi

2004
The first ten minutes of Angel Sanctuary, Vampire Hunter D: Bloodlust, Yami to Boushi to Hon no Tabibito, M0USE, Beat Angel Escalayer

2005
The Maiden Diaries, Genmukan, Kao no nai Tsuki, Full BORING Alchemist, Macross: Do You Remember Love?, Macross 7: The Galaxy's Calling Me!, Sexfriend, Victorian Romance Emma, Shadow Skill, Macross Zero, Welcome to Pia Carrot: Sayaka's Love Story

2006
Seraphim Call, R.O.D., Insterstella 5555, Macross 7, Ghost in the Shell: Stand-Alone Complex, Eureka 7, Samurai Champloo, Adieu Galaxy Express 999

2007
Twinbee: Winbee's 1/8th Panic!, Gatchaman, Azumanga Daioh, Season of the Sun, The Harp of Burma, Wedding Peach, Growing Up, Gankutsuou, The Sound of Waves, Tokyo Godfathers, Steam Boy, Aquarian Age, Scrapped Princess, Colorful, Macross 7 Dynamite, He is my Master, Green Green, the remaining 20 episodes of Escaflowne, Berserk, Elfen Lied, Popotan

Preachy PRO-tip: Check your local library for anime videos!

THE ANIME WISH LIST:
These're anime I've not yet had the opportunity of seeing...
Twin Bee Paradise, Steel Angel Kurumi, Sailor Moon S and SuperS movies, Tokimeki Memorial, Brain Powerd, Infinite Ryvius, Gaogaigar FINAL, Daigaurd, Maho Tsukai Tai!, The Goddess Candidates, Neoranga, Dinozaurs, Dual! ("TekkaEvaMan", indeed...!), Hand Maid May, Excel Saga, Hiroyuki Utatane's Count Down, Gattender the Number One Robot in Space, Space Battleship Girl Yamamoto Yoko, Miami Guns, Steel Angel Kurumi II, Di Gi Charat Fantasy, Malice Doll, Mahoromatic; Automatic Maiden, Arcade Gamer Fubuki, Onegai! Teacher, Ichigo Mashimaro, Megazone 23, Le Portrait de Petite Cosette, Millenium Actress, Paprika, MezzoForte

Manga!
Japanese 'comics' that is...
Shin Seiki Evangelion, The Five Star Stories, Dark Angel, MS Gundam 0080, Betterman, To Heart, Psychic Academy, Dark Edge, Good Kiss! 2.0, Psybuster, ABC (abbakusu), I Wish..., Amon: Devilman Apocalypse, Megami Kouhosei (Goddess Candidates), Angel/Dust, Steam Detectives, Gundriver, Boku no Mari, Hanaukyou Meido tai, Hand Maid May, Kotestu Tenshi Kurumi, Gokuhyou Parodius, Samurai Spirits komanga, Kimondoh, Di Gi Charat, Pita Ten, Ikkitousen.

Tales from the H side...

Mind you, I haven't really played these, I'm just really familiar with and admire them for their cool character designs.
Elysion (Terios), Kaononai Tsuki (Carnelian!), Parallel Harmony, Drill Girl Spiral Nami, Dark Knight, Vampirdzhija Vjedogonia, The Death and Return of the Dragon, Welcome to Pia Carrot, Comic Party, Can Can Bunny 6; I Love Mail.

Suzuna Kuraki and Christy McClain, from Kaononai Tsuki and Elysion, respectively, both truly masterpieces in their own right. Can I get a HELL YEAH from you 4chaners?

DORAMA!
Japanese 'soap operas' that is. These things have, like, such stratospheric production values, man...
Bus Stop Summer Destiny, some baseball drama with the word STRIKE in its title, Yamato Nadeshiko, Shounen H (Boy H), Love Complex, Oyajii, Kabachitare!, Love Revolution, Sayonara Ozu Sensei, Platonic Sex, Long Love Letter.