Well, it depends on the genre of anime you prefer.
There are many adventure/action, with a little comedy mixed in it, kind of anime which you should try like Naruto, Bleach, Death Note, Fairy Tail, One Piece and alike (there are many).
Maybe some classics will interest you like Dragon Ball Z or Sailor Moon.
If you want something a little bit "darker" you can try Blood C or Another.
You can try Ouran High School Host Club, Starry☆sky~, Uta no☆prince-sama♪ if romantic/romantic comedy interest you
Quick ideas:
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