Clannad. This is the anime that will make you cry. I don't care if you've never cried in a show before. I don't care if you maintained a steely expression at your grandma's funeral when you were 9 years old. You will cry in Clannad. It's two seasons long (Clannad and Clannad After Story), it's funny, it's dramatic, it's romantic, and it makes everyone cry. No exceptions. And to clarify, I'm a 21-year old man, and just hearing some of the music makes me tear up now.
I also recommend Orphen. The first season, specifically. The second is okay, but they dropped the continuous drama in favor of an episodic comedy format, which simply isn't as good until it gets going in the second half. But the first season is fantastic.
I can also recommend Darker than BLACK. Sci-fi neo-noir with awesome characters, great animation, and interesting premises.
Also, I recommend all of them with the subtitles. Clannad's dub is passable, but not great by any means. Orphen's dub is actually pretty good, if a bit flat at times, so go ahead with that one if you want. Darker than BLACK... not sure it's actually been dubbed. But whatever, subbed is better in almost every case anyway.
As a side-note, if you ever do try Naruto (because it is a very good show), for the love of everything that is good, DO NOT watch the dub. It's one of the most terrible, ear-damaging piece of crap dubs that has ever been brought into existence. Just don't.