1. Death Note
If you are a anime guy, then you probably have already watched Death Note. Modern day masterpiece Death note is written by Tsugumi Ohba and illustrated by Takeshi Obata. he story follows Light Yagami, a high school student who discovers a supernatural notebook from a Shinigami named Ryuk that grants its user the ability to kill anyone whose name and face he knows. The series centers around Light's attempts to create and rule a world "cleansed of evil" as "God" using the notebook, and the efforts of a detective known as L to stop him. Drama and suspense is so lit that you will complete the anime series within a day :D. I will not spoil much but the end is a sensation. The story portrays how a man loses his mind if granted power. Ryuk, shinigami is a perfect catalyst for the story although L is fan favorite. Anime is 37 episode long and interval of the series comes with a great twist. I know you are going to love the show.
2. One Punch Man
One Punch Man is a story of a man who was a superhero wannabe, dream to be exact. s an ongoing Japanese superhero webcomic, which began publication in early 2009. Protagonist of the series is Saitama who is extremely powerful. He does not need a second punch to destroy his enemy. Literally he is the strongest superhero there is. Saitama is seemingly ordinary. He is bald and does not give appearance of cliche superheros.
An anime television adaptation by Madhouse aired in Japan between October and December 2015 which was internet shaker. The first season is short with only 12 episodes with some special episodes. It is worth your time so don't miss it. :D
3. Boku no hero academia
Oh I cannot tell you how epic is Boku no hero academia. You gotta check it out for yourself. The world of Boku no hero academia is a world of superpowers. Almost 80% of newly born children are born with superpowers called 'quirk'. Izuku Midoriya (main character) is not lucky enough to be born with quirk as his friends, so he is a normal human being but has a big heart to help others. He wants to be a hero who never wants to lose to evil.
He then inherits power from a hero 'ALL MIGHT' who is also his idol. I personally recommend this series because it is the best hero anime i have watch recently.
4. Attack On Titans
There was a ideal time where humans were living as they were living today. But some centuries ago mankind was attacked and sent to there verse of extinction by monstrous humanoid creatures called titans. Titans are huge humanoids that feed on humans. So, humans built big walls and jailed themselves to save mankind. Despite of huge walls some titans find a way inside and devour all humans. Humans are again cornered inside of another ring of wall. Mother of main character 'Eren' is devoured by a lady titan in front of his eyes. He is re-established in a camp as an army. He then dedicates his life for the eradication of these creatures. The show is 2 season long till the post is created. It has high quality animation and great voice over. If you are horror loving person, you will definitely love the show.
5. Parasyte
24 episode science fiction horror 'kisejuu' is a plot of earth which is suddenly invaded by parasitic aliens that infiltrated humanity by burrowing into the brains of vulnerable targets. Shinichi Izumi falls victim to one of these parasites. He is not infiltrated upto the brain but the alien creature resides in his right hand. The villans are human appearing aliens who are now taking the world in pace. The main character Shinichi and the alien in his right hand 'Migi' now have to struggle together to stay alive.