---------Visually Stunning (mostly referring to backgrounds)--------
Seirei no Moribito (Adventure, Fantasy)
http://myanimelist.net/anime/1827/Seirei_no_Moribito
A good fantasy story with amazing backgrounds and awesome fights, Production IG (anime studio known for amazing animation) at it's best.
Ghost in the Shell: Stand Alone Complex (Sci-fi, Psychological)
http://myanimelist.net/anime/467/Ghost_i...ne_Complex
Ghost in the Shell...It's kind of like The Matrix, only better. A Psychological sci-fi series based on the movie. The animation is top notch (Production IG, again XD ).
All the Key visual novel anime adaptations by Kyoto Animation (Comedy,Drama, Slice of Life):
Clannad
http://myanimelist.net/anime/2167/Clannad
Kanon (2006)
http://myanimelist.net/anime/1530/Kanon_%282006%29
Air
http://myanimelist.net/anime/101/Air
Once I got past the moe character designs, all of the three above really affected me personally. All are also great tearjerker series with beautiful animation, and all are about life, and living it to the fullest.
Sky Crawlers (Drama, Psychological) [Movie]
http://myanimelist.net/anime/3089/The_Sky_Crawlers
Slow, psychological movie about child solders engaging in aerial battles.
Le Chevalier D'Eon (Action, Mystery)
http://myanimelist.net/anime/1013/Le_Chevalier_DEon
An mystery series with great fight scenes. The backgrounds are so amazing it made me wish I could go to France and see the palace of Versailles for myself.
Tokyo Magnitude 8.0 (Drama, Disaster)
http://myanimelist.net/anime/6211/Tokyo_Magnitude_8.0
A disaster series which focuses on the people affected, instead of special effects,
and it was pretty well drawn as well.
Higashi no Eden (Drama, Comedy)
http://myanimelist.net/anime/5630/Higashi_no_Eden
A drama/comedy series that deals with social issues. it has great animation, and one of the coolest OP animations I've seen in a long time.
-------Stylized Animation---------
xxxHolic (Comedy, Mystery, Drama, Supernatural, Psychological)
http://myanimelist.net/anime/861/xxxHOLiC
A good dark series, with a lot of youkai in it (which is a bonus for a youkai fan like me)...It's about people's problems, and how they deal with them. Parts reminded me of Kino no Tabi, and other dark psychological series.
Mononoke (Fantasy, Dark Story, Youkai)
http://myanimelist.net/anime/2246/Mononoke
xxxHolic and Mononoke's character designs are both based off of Ukiyoe paintings, but Mononoke does it much better. It feels like you are inside a living painting. As for the story, it's dark, and good, but didn't leave much of an impression on me in the end.
Kaiba (Psychological, Sci-fi)
http://myanimelist.net/anime/3701/Kaiba
Interesting mature series with child-like animation. Very "transporting".
Edited: 2011-05-21, 7:25 pm