Okay, so here I go:
(*This list isn't in best to worst or worst to best order, it simply suggests the name)…
Death Note: Much more is said about this one so I won't explain much, would just suggest that if you haven't seen this you are missing a lot. Just go and binge it.
Attack On Titans: This series has everything you want. Great animation, badass music, epic fighting scenes and a top notch storyline which will keep you at the edge of your seat with every coming episode. 4th (final season) is going to air in 2020, so just watch it ASAP.
Baku No Hero Academia(My Hero Academia): If you are a Marvel or DC buff then you will surely fall for this one. It only deals around superhumans, superhumans and superhumans. Some are good, some are bad, some are powerful, some are weak but everyone is as important as the other. You will enjoy this a lot.
Death Parade: This anime will play with your emotions and at the end you will start thinking about your life. A great concept with a great music.
Fullmetal Alchemist:Brotherhood : The highest rated anime series on Myanimelist and it obviously deserves this. Tale of two brothers in a world where alchemy is a new advanced scientific technique. Just watch what they want and how would they achieve it.
Dragon ball series: The fan favorite anime. This is regarded as the “baap”(father) of all animes. Join GOKU to fight the evil deeds who wants to conquer his planet.
Naruto series: Though I'm not a die hard naruto fan but I loved the story and the way in which it was conveyed. You can finish it really quick by skipping the fillers.
Steins;Gate: An excellent time travel story. This is a must watch for anyone who is looking for a time travel story. You won't regret watching this.
One Piece: I think this is the longest airing anime till date. Though I jave just started this and starting was a bit slow but it makes good sense with upcoming episodes. Watch it for the action and pirates theme.
Erased: An awesome time travel thriller. An unpredictable story conveyed in just 12 episodes.