 If you liked
Dungeon ni Deai wo Motomeru no wa Machigatteiru Darou ka
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 ...then you might like
Overlord
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Both have a trapped in a game feel to them. However both focus more on the life in the game. While How to Pick Up Girls is not clearely a trapped in a game anime, it sure feels like one. Overlord is a trapped in a game anime. Where both have common ground is that they both accept the world they are in as is and make the most of it and don't treated it like a game.
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Recommended by Holocat_Zer0
The world is similar to a game.
Adventurers who take quests in pubs exist in this world.
People who like DanMachi will for sure like the fact its based of 'levels' and 'dungeons' with certain game tropes. If so, they'll like Overlord which takes 'stuck in a game' quite literally (better than SAO does)
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Recommended by MinistrSinister
They both have a MMO-RPG style and an harem with fanservice. Even if the protagonists are different they both behave in a similar way, and the fights are enjoyable with a lot of fantasy skills and enemies.
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Recommended by QuickSilver13
Overlord - Has OP Character's
Has Quest, Guild, Adventurers System.
Fanservice for Both Anime.
Magic, Spells.
Stories very well developed that happen in worlds to the RPG style, it is worth to check Overlord if you are interested in this type of anime.
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Recommended by Nownownownow