I second Moribito. While it's something older kids could watch as well, it has hardly any of the overacting/silliness that is the stereotype for anime (maybe a very minor character says a couple lines or something). I tend to recommend it if I know someone enjoys fantasy but has been turned off by other anime they have watched.
12 Kingdoms is also very good. It is similar to Moribito in that the acting is not exaggerated at all. Unfortunately, not all of the side plots were wrapped up nicely (they were going to continue the show and then it got cancelled for some reason), but the main character's arc does have a nice ending. The world is quite fantastical and the characters are interesting. There are tons of themes to ruminate :-).
I'm cracking up at the Naruto/Bleach comments. I do have a soft spot in my heart for Naruto, and it does actually have some deeper themes, but it's definitely not "adult" :-). If the OP has not watched it, think of Naruto like Harry Potter + Avatar: The Last Airbender (the tv series…NOT the horrible movie) + ninjas. It has some major flaws, but as a family show, I actually love it and I can't believe I've watched almost all of the episodes. I hated Naruto at first since he was so annoying (you need to get past the first 10 episodes or so), but all the characters really grow throughout the series and there's always something new that they learn. I think that's why I like it so much. Bleach on the other hand…I loved the first few seasons and then there seemed to be seasons worth of filler, so I haven't watched it in a long time. Naruto is my guilty pleasure.
12 Kingdoms is also very good. It is similar to Moribito in that the acting is not exaggerated at all. Unfortunately, not all of the side plots were wrapped up nicely (they were going to continue the show and then it got cancelled for some reason), but the main character's arc does have a nice ending. The world is quite fantastical and the characters are interesting. There are tons of themes to ruminate :-).
I'm cracking up at the Naruto/Bleach comments. I do have a soft spot in my heart for Naruto, and it does actually have some deeper themes, but it's definitely not "adult" :-). If the OP has not watched it, think of Naruto like Harry Potter + Avatar: The Last Airbender (the tv series…NOT the horrible movie) + ninjas. It has some major flaws, but as a family show, I actually love it and I can't believe I've watched almost all of the episodes. I hated Naruto at first since he was so annoying (you need to get past the first 10 episodes or so), but all the characters really grow throughout the series and there's always something new that they learn. I think that's why I like it so much. Bleach on the other hand…I loved the first few seasons and then there seemed to be seasons worth of filler, so I haven't watched it in a long time. Naruto is my guilty pleasure.


which I'm currently watching, yeah its a bit childish but still entertaining if you're into fighting that is!