Here are some manga / anime recommendations. Some have not been licensed for distribution in the US, or have been only partially released here, so you will need to hunt a bit for fansubs. I watch only the animated adaptations, as they're easier to hide, but feel free to order the original manga versions if you don't feel ashamed about reading comic books. Not all are adaptations -- the movies, and a few television series, are original animations.
- Monster < http://en.wikipedia.org/wiki/Monster_%28manga%29 >
- Planetes < http://en.wikipedia.org/wiki/Planetes >
- Mushishi < http://en.wikipedia.org/wiki/Mushishi >
- Mononoke < http://en.wikipedia.org/wiki/Mononoke_%28TV_series%29 >
- Tokyo Godfathers < http://en.wikipedia.org/wiki/Tokyo_Godfathers >
If you're willing to relax your standards a bit, there are many outstanding series aimed at younger viewers.
- Denno Coil < http://en.wikipedia.org/wiki/Denn%C5%8D_Coil >
- Yokohama Shopping Trip < http://en.wikipedia.org/wiki/Yokohama_Kaidashi_Kik%C5%8D >
- Kino's Journey < http://en.wikipedia.org/wiki/Kino%27s_Journey >
- Cromartie High School < http://en.wikipedia.org/wiki/Cromartie_High_School >
- My Neighbor Totoro < http://en.wikipedia.org/wiki/My_Neighbor_Totoro > , or almost anything else by Studio Ghibli < http://en.wikipedia.org/wiki/Studio_Ghibli >
- The Girl Who Leapt Through Time < http://en.wikipedia.org/wiki/The_Girl_Who_Leapt_Through_Time >
- Yotsuba&! < http://en.wikipedia.org/wiki/Yotsuba&! >