If you liked
Tensei shitara Slime Datta Ken
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...then you might like
Kumo desu ga, Nani ka?
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The clear similarities include the main character reincarnating in a fantasy world as a monster, first waking up in a cave, learning abilities by defeating cave monsters and possessing a robotic female voice in their head explaining game/world mechanics and new abilities. They take place in strikingly similar fantasy worlds that include dragons and demon lords, as well as magic schools. There are some important distinctions between them though. For example, the main character of Kumo desu ga stays in the cave for a considerable amount of time by herself while other characters have stories completely separately from her, while Rimuru in Slime is out of the cave fairly early and recruits some followers and makes friends. Also in Kumo desu ga, an entire classroom of kids is wiped out and reincarnated into the same world and most of them quickly find each other, unlike Slime in which Rimuru is reincarnated by himself but does find very few other people that are also from his world along his journey. Both are mostly focused on light-hearted fantasy comedy with energetic and charismatic main characters that steadily evolve and become more and more powerful.
If you liked
Darling in the FranXX
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...then you might like
Yakusoku no Neverland
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Both universes include separated groups of children (more like teens in the case of darling) in worlds that deceive and manipulate them for various dangerous and disturbing reasons. While Neverland involves the main characters discovering the dark secrets of their world very early on and fighting against it for the whole series, darling keep the main group of characters very much in the dark until the last handful of episodes. Darling in the Franxx also has the added element of romance, since the characters are older and specifically paired up in opposite gender pairs. The teens are also experienced at fighting gigantic monsters and piloting complicated mecha suits. However, the children in Neverland are very inexperienced in pretty much everything and are having to hide from and act ignorant to the smaller threat of their own caretaker and the rest of the adults. I only mean smaller in scale, since the human enemy can have you killed just as quickly as the giant monsters in Darling. Each of them has a very different tone, but both carry the ominous feeling of a much more messed up society that the children and the audience will eventually learn more about.
If you liked
Tate no Yuusha no Nariagari
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...then you might like
Itai no wa Iya nanode Bougyoryoku ni Kyokufuri Shitai to Omoimasu.
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The clear similarity to mention is that both of the main characters specialise in shields, tanking and support rather than being an overpowered damage character that we generally get plenty of. However, while the MC of Rise of the Shield Hero (Tate no Yūsha no Nariagari) is forced into having a shield with no say in the matter and looked down upon for it, the MC of Bofuri (Itai no wa Iya nano de Bougyoryoku ni Kyokufuri Shitai to Omoimasu) willingly chooses a shield and puts all of her skill points into defence, largely because of her unfamiliarity in the game she's playing. While people are initially sceptical of her choices, her friends and peers begin to respect her playstyle because of it's uniqueness and obvious success. So in terms of attitude towards the main character, Shield Hero is more of an underdog story where you're rooting for the least popular hero while most of the world hates him, while Bofuri is very wholesome and filled with support and acceptance. Another large difference is that Shield Hero takes place in a parallel world and brings people from alternate realities with magic. However, Bofuri is largely set in a VRMMO game, in which the players can freely choose when to log out or leave. Partly because of this, Shield Hero's tone is often more serious than anything in Bofuri, since characters could legitimately get very hurt or injured, which isn't as much of a worry in a VR game. Therefore, if you'd like a show with a more serious Seinen tone, Shield Hero is up your alley. But if you'd like a break from that, Bofuri is a very feel-good series with relatively low stakes, but of course both are very enjoyable series.
If you liked
Beastars
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...then you might like
BNA
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The obvious comparison is the anthro animal characters, although their designs and art style are quite different. They both include conflict and/or prejudice between two distinct groups, in BNA it's humans and Beastmen (the anthro characters), while Beastars has carnivores against herbivores, since humans don't exist in that universe. The prejudice is much more extreme in BNA, to the point of having the main character having to run away from home and find safety in an all beastmen city. Both of them also feature a quiet grey wolf MC. Legoshi from Beastars is very honest, polite and a little awkward, but in a relatable way, while Shirou in BNA is more of the silent and serious type, and initially very hateful towards humans. Both are fantastic and worth your time!
If you liked
Mirai Nikki (TV)
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...then you might like
Darwin's Game
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Darwin's Game starts with very strong Mirai Nikki vibes, mostly from the relatively average and inexperienced dark-haired male MC with a crazy killer female MC who loves him and protects him from the twisted game they're participating in. Darwin's Game is different enough, largely in that it's a game open to an infinite number of people, while Mirai Nikki was only between 12 people, but the characters in both series still have to be wary of everyone around them in public in case they're being targeted. Another key difference is Darwin's Game's Sigils, which are super powers unique to each individual player. While Mirai Nikki also has the characters with unique abilities, they are all tied to telling the future in some way, and Darwin's Game has no such restriction.