I'm a lifelong lover of anime/manga but I'm also a huge film geek. I usually watch more anime films than series due to time constraints, although I've been watching more series lately. Definitely check out my list, but off the top of my head, some of my favorite anime/manga include:
Neon Genesis Evangelion and Evangelion Rebuild
Redline
Mind Game
Fruits Basket
Full Metal Alchemist Brotherhood
Ouran High School Host Club
Puella Magi Madoka Magika
Ghost in the Shell 1, 2 and Stand Alone Complex
Clannad
Akira
Card Captor Sakura
Magic Knight Rayearth
Osamu Tezuka's Metropolis
The Sky Crawlers
Berserk
Battle Angel Alita
Satoshi Kon's films (my favorites are Perfect Blue and Paprika)
Studio Ghibli films (my favorites are Porco Rosso, Grave of the Fireflies, Pom Poko and Spirited Away, but I love them all)
Chobits
Belladonna of Sadness
I'm always open to checking out new anime - let me know if you think there's something I'd like! : D
