If it's crap ... We'll tell you
Series (in no order):
Full Metal Alchemist (Original)
Welcome to the NHK
ef: A Tale of Memories
5.) The Disappearance of Haruhi Suzumiya - Okay now I know what you're thinking but just trust me.
4.) The Girl Who Leapt Through Time - Nothing much to say, just a great little time travel movie.
3.) Nausicaa of the Valley of the Wind - Everyone's got their favorite Myazaki movie and this one's mine.
2.) Akira - If ya haven't heard of this one, then climb outta that rock ya been under all these years.
1.) Evangelion 2.0: You Can (Not) Advance - Hey remember all those problems we had with the original series? Yeah... those are all gone now.
Just finished scanning all the recommendations, and I have to add two TV shows that nobody mentioned, which are oldies but goodies if you ask me:
Record of Lodoss War (the original 13-episode series). Here the Japanese voice acting and subtitles are hugely superior to the dubbing, so only recommended under those conditions. Note that episode 1 is actually what happens between episodes 5 and 6.
Super Dimension Fortress Macross (the original 36-episode series). This is how soap operas for guys should be done. It also helps to understand, to appreciate, some things about Japanese culture:
Fullmetal Alchemist: Brotherhood
Ghost In The Shell: Stand Alone Complex
Oban Star Racers
The Girl Who Leapt Through Time
Grave Of The Fireflies
Barefoot Gem 1 and 2
Osamu Tezuka's Metropolis
Cowboy Bebop The Movie
Ghost In The Shell
P.S.: Being an anime fan feels.............
I'm more of an anime dabbler than a fan. Replace Bleach with Tengen Toppa Gurren Lagann, and I think you've hit the nail on the head.
EDIT: I also don't see Neon Genesis Evangelion on that list. I know several people have problems with it, and say way you will, but it's had a HUGE influence on modern anime.
FUCK! I also love Neon Genesis Evangelion, Gurren Laggan and IGPX (I'm ashamed for forgetting them to put them on my list). Speaking of which, How many anime films or series have you seen so far?
Almost everything on your list and a few odds and ends here and there.. Just stuff that's been recommend to me and I've found time to watch, I don't watch it religiously. Other than that, I watch stuff from "/a/'s recommended anime" lists.
A few that I really like that haven't been mentioned are:
Yu Yu Hakusho/HunterXHunter
Now and Then, Here and There
Howl's Moving Castle