If you liked
Arifureta Shokugyou de Sekai Saikyou
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...then you might like
Hazurewaku no "Joutai Ijou Skill" de Saikyou ni Natta Ore ga Subete wo Juurin suru made
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Isekai protagonist gets left for dead in a dungeon and has to claw his way to the surface, becoming an OP edgelord antihero.
If you liked
World Trigger
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...then you might like
Owari no Seraph
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To repel an invading force of both monsters and humanoid enemies teen soldiers must fight using melee and long-range combat in an urban setting. Our protagonists must learn to work together as a team to protect those they care about.
If you liked
Bleach
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...then you might like
Owari no Seraph
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A military organization uses magic weapons that activate/change form when the wielder calls their name. These weapons are named after the being posessing/representing them, which wielders must form a bond with through meditation or confrontation. The military organization is not quite as it seems with secrets and factional conflict just below the surface.
If you liked
Death Note
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...then you might like
Yakusoku no Neverland
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The main draw of both of these series is an intense game of cat and mouse where one side is trying to accomplish their goals without being caught by the other. They also both deal with difficult moral questions.
If you liked
Byston Well Monogatari: Garzey no Tsubasa
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...then you might like
Dark Cat
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If you want to experience 2 to 5 minutes of pure concentrated nonsense at the beginning of an OVA, then this one is for you. What follows is a series of bizarre and confusing events with equally questionable dubbing decisions. Of course with so bad it's good anime like these, watching the dub is the way to go for maximum comedy.
If you liked
Soujuu Senshi Psychic Wars
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...then you might like
Byston Well Monogatari: Garzey no Tsubasa
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The 90's was a magical time for laughably terrible OVA's. Watching the dub is a must with these types of shows. Both are treasure troves of classic lines and moments. The plots are confusing and hard to follow in the best of ways. Both also have some great end credits music.
If you liked
Mirai Nikki (TV)
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...then you might like
Tenkuu Shinpan
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Two examples of death game genre with unusual power systems and bizarre characters. Each series has a plot that goes in all sorts of strange and unpredictable directions. Try it if you want the same kind of dumb fun and absurd amounts of fanservice.
If you liked
Hametsu no Mars
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...then you might like
Byston Well Monogatari: Garzey no Tsubasa
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Two OVA's which both compete for the title of best worst anime or all time. The plots: nonsensical and hard to follow. The animation: laughable. Comedy gold all around!