If you dont mind i will add some
Vampire Knight-Romance, Fantasy
Inuyasha-Romance, Action, Fantasy
Naruto-Romance, Action, Fantasy
Ummmm I have to look at my watch list *sigh* I have just watched too much.... Oh WAIT
Fruit Baskets-Romance, Funny, Fantasy
Sword Art Online-Romance, Fanasty, Action
Sword Art Online 2-Romance, Action, Fantasy
Wait I have a question where do you watch anime.... Nexflix just doesn't habe many any more cause I have watched them all
Fairy Tail-Maybe Romance, Action, Funny, Fantasy
Attack on Titan (my first anime)- Action, Fantasy
Crunchy Roll, Gogo anime, and kiss anime are some good places to find more than Netfloxs selection. Youll find stuff old and new. Some recommendations to get ya started on those sites (particularly gogo anime) are Neon Genesis Evangelion, Serial Experiments Lain, Shiki, Parasyte, and Ajin. If those are too much you can never go wrong with Clannad, Astro Boy, and Vampire Princess Miyu.
I can never recommend any manga more than the Megaman NT Warrior manga. That manga is awesome. The anime was dumb. The manga follows the Battle Network games but makes some changes. There's more focus on Bass than there was in the games.