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let's see
the most notable ones I don't see in your list:
Amagami SS: it's a romance, the way it works is each heroine gets an arc of her own, even though you don't like pure romance it could be fun to watch

Baka to Test to Shoukanjuu: it's a comedy with some romance but the comedy is bigger, what makes it very fun to watch is that there is always something wacky happening, fun characters, their school have a unique test\battle system which determines their class and their status, it never gets boring imo
somewhat similar to School rumble, although it's style is different and not as serious, in both anime there's always something crazy happening with their class

Bakuman.: if you liked ShiroBako this one is similar; it's about making manga, following your dream, keeping promises, they managed to make making manga feel like a contest shounen hehe, it also has romance but it's tied with the plot, it's good if you want good story, interesting character and some competition

Barakamon: very relaxing slice of life with likable characters, MC goes to a village to reflect upon himself

Gin no Saji: another great SoL, MC enters an agriculture high-school and there he meets many students who are following their goals while he struggles to find his own, it's very entertaining to watch, you'd never think an anime about farming and cattle could be this interesting xD

Natsume Yuujinchou: great Drama, it makes you fuzzy inside, lots of heart warming moments, sometimes a little bit sad, same thing with Mushishi

Sword Art Online: surprised it's not on your list, Action and Fantasy, trapped in an MMO
some people love it (me included), some hate it because it got popular, some are neither
I'd say it's better to watch and decide for yourself cause other people's opinion don't matter much about what you enjoy xD

Tengen Toppa Gurren Lagann: not sure if you'll like this but you never know until you try!
it's style is over-the-top, over the top action, over the top Drama, over the top colors lol
if you liked it then watch Kill La Kill; it's made by the same people and it gives you the same feeling even though the setting is different

there are more but those are the first that come to my mind when I think about recommendations, along with Chihayafuru