Well, I recently found this really cute subbed anime online called Kokoro Library. Granted, I've only had the time to watch the first episode so far, but it's really, really cute!
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The CAA review didn't mention anything objectionable in it, so you may want to give that a try. As for other cute anime...Um...Well, I can't really think of any for the specified age group off the top of my head, haha! If you're willing to go a tad serious (the art style is ADORABLE, but the series is super-sad later on), there's a fantastic anime called Air(TV) that you can find on torrent sites (I can't list them here, haha. PM me if you want a link or two, though.
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). Anyways, hope that helps a bit! Have fun watching whatever you find!
EDIT: Wait, read that wrong. XD Are you just looking for cuter anime, or are you wanting some other, more serious ones too? Because if so...I can reccommend a few!
Magic Knight Rayearth. I've never watched the anime (plan to when I get money, haha), but the manga is very clean and REALLY good. I loved it!
Also, check out Full Moon wo Sagashite. The anime was just recently licensed by Viz, so you won't be able to find torrents, but the manga is out (up to vol. 4, I believe), and the anime should be out on DVD soon. This is a really fantastic one (I haven't finished it, but I loved it after I reached like, pg 5 in the manga, haha), but it gets pretty sad later on, I hear.
Also, if you're interested in Hayao Miyazaki's movies (like Spirited Away...Great movie!), then you can watch them in subbed and dubbed forms on Turner Classic Movies all this month, every Thursday. Nausicaa: Valley of the Wind and Castle in the Sky are playing this Thursday, so watch if you're interested, or if you get the channel!
RESEVior CHRONicle Tsubasa is also a great one from Clamp. The anime was recently licensed, but it should be out on DVD soon. What I saw of the subs was really clean, and the manga is also really good. So keep an eye out in your favorite DVD stores for some of these titles!