I've only seen Clannad, Clannad After Story, AnoHana, and Sword Art Online from your liked list. So based on those I recommend...
Natsume Yuujinchou- [pictured and talked about below] Guilty Crown- (action like SAO, well drawn, intense story) K-project- (supernatural powers, mystery, action) Toradora!- (cute, sweet, funny romantic comedy) Black Cat- (light action, sad character situations)
I've pictured Natsume Yuujinchou because it has a lot of touching stories and has the same feeling as Clannad and AnoHana. And it has some action like Sword Art Online. It is a really beautifully done Anime with lovable characters, beautiful music, very well drawn and detailed, and stories that will touch your heart. It is my Favorit Anime of all time.
I think Fullmetal Alchemist is a good show. It has some mildly disturbing bits and some blood and gore, though, in case Du wanted to watch something with a younger sibling oder something.
I really like Loveless. I don't know if Du have already watched it, but it's an excellent anime. It's a little confusing at first, but if Du keep watching, you'll understand what's going on. It's yaoi, though, in case Du don't like that.
Ghost Hound is good, too, in my opinion. It's another one that's confusing at first. It has a lot of psychology mixed in, and Supernatural elements.
I watched about one fourth of Angel – Jäger der Finsternis Feather. It seems pretty good, but I'm not positive yet. Another yaoi.
You've probably already watched Ouran High School Host Club (most people I've talked to about Anime have) but if not, it's very funny. I don't usually like shows like it (high school shows, were school is the setting and a lot of the plot) but it's definitely an exception.
Sorry if I was too descriptive. Here's a link to a Liste of Anime if Du still need a few. :) The site is WOT safe, Von the why. link