I just finished watching a really good one from netflix called "Your Lie In April" its so damn good and it almost made me cry. Normally I don't watch anime but it was 5 solid stars and it deserves that, it's a visual masterpiece too.
Edit: i still can't believe one punch man hasn't been mentioned .
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You should try Berserk. You really should. I don't know if it's on Netflix or not, so here is some links. https://kissanime.to/Anime/Berserk This is the 1997 anime. It was an amazing story, lots of story. Was a great anime, but bad animation. But hey, it's a classic. https://kissanime.to/Anime/Berserk-Golden-Age-Arc-I-The-Egg-of-the-King-Dub This is the first movie in a trilogy made in 2012 of Berserk. Honestly do what you like, but the movies has more emotion and quality in it to me. As much as everyone disagrees with me, I liked the movies more. Beyond Berserk, you should try Akame ga kill Angel beats Erased