Recently my wife and I found Moribito on netflix and we love this series. More like this one would be awesome.
We also enjoyed Berserk, Full metal alchemist(all of them), Akira and pretty much everything by Hayao Miyazaki we have found. Netflix has a ton of Anime but I figured it would be faster to ask here then go show by show trying to find more I like.
Dubbed or subtitled doesn't really mater to much.