If you liked
ES: Eternal Sabbath
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...then you might like
Liar Game
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Both stories are highly psychological, and delve deep into the darker sides of humanity. In ES, there are people with ESP powers, and one rogue person with these abilities wants to end humanity. In Liar Game, a secret illicit company contacts people and forces them to participate in a game, the prize being one million dollars at the beginning, and if the person rejects the invitation or loses the game, become indebted to the company for 1 million dollars (or whatever sum they're competing for). Contestants are given a certain amount of money, and they have to steal as much of their opponent's money as they can whilst protecting their own.
If you liked
Nousatsu Junkie
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...then you might like
Cat Street
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Both are shoujo, and the main characters are both highly likely to fail in their chosen media profession. In NJ, the main girl wants to model, but she has a scary face, especially when she smiles, so nobody will hire her, and she only gets a modelling job when she accidentally stumbles upon another model's deepest secret. In CS, the main girl had a traumatic experience when she was in a play as a child, and the following humiliation caused her to withdraw from society for 10 years, until she's invited to join a self-paced tuition free school by the principal. Both girls have to figure out how to deal with the majour changes in their lives, and deal with the people around them.
If you liked
Mars
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...then you might like
Hakuji
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Both stories are initially about one of the main love interests painting, using the other love interest as a model, and are bittersweet tales. Mars is much longer than Hakuji.
If you liked
xxxHOLiC
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...then you might like
Hanako to Guuwa no Teller
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The main character in both stories work as someone's assistant to pay off debt. In Hanako to Guuwa no Tera, the main group work to solve supernatural cases. In xxxHolic, the main group grants wishes in exchange for something of equal value. Obviously, both stories rely heavily on supernatural creatures, but Hanako relies on Japanese lore specifically, while xxxHolic has different kind of creatures. xxxHolic is much longer, but it also has a decent anime adaptation.
If you liked
Fullmetal Alchemist
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...then you might like
Yuu☆Yuu☆Hakusho
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FMA is about brothers Ed and Al, who try to bring their dead mother back with alchemy, but Ed loses his arm and leg, and Al loses his entire body (Ed attaches it to a suit of armor). After Ed gets prosthetic limbs (automail), he vows to become a state alchemist to gain access to the information that could restore his limbs and Al's body. Little do they know about the giant war ahead of them and the corruption in the government they'll have to face. Yu Yu Hakusho is about a teenage delinquent named Yuusuke who unexpectedly dies uncharacteristically by pushing a young child out of the way of an oncoming vehicle, which hits him instead. Nobody in the Spirit World knows what to do with him because they didn't expect him to die that day, let alone by a selfless act. To reward him/not knowing what to do, the Spirit World gives him another chance at life, and he becomes a Spirit Detective, hunting down malevolent demons. Both stories are full of baka characters (but not in the annoying brainless way!), humour and action, with splashes of romance, but romance isn't a main focus. The characters are very well-developed. There are also many awesome female characters who can stand their own ground and don't need saving. Both series are really epic, and quite long, so they'll keep you amused, and are completely faithful to their manga sources.
If you liked
Mushishi
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...then you might like
Usagi Drop
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Usagi Drop is about a thirty year old man named Daichi who goes to his grandfather's funeral, and learns that his grandfather had an illegitimate child named Rin, who's 5/6 years old. Due to the scandal Rin's existence would cause, none of the relatives want to take her in. Daichi, the kind-hearted soul that he is, agrees to take in Rin, much to his entire family's dismay, believing he'd be an incompetent parent and taking her in would bring shame upon the family. He does struggle with raising Rin, but he's up to the task of growing as a parental figure. Mushishi is about a nomadic traveller named Ginko. Ginko is a mushi master. Mushi are (mostly invisible) life forms that can be very harmful to humans or the land/object/host it occupies. Ginko travels, helping people who are affected by mushishi- a healer/exorcist, for lack of better terms. These shows have very different plots, but they're both slice of life with a slow but calming pace. Both talk about growing as a person, and finding their place in the world.
If you liked
InuYasha
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...then you might like
Yuu☆Yuu☆Hakusho
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I don't usually write recommendations for an anime if someone's already recommended it before me. But I can't stress this recommendation enough. Inuyasha is about a girl named Kagome who fell down her family's shrine's well, which transported her to the feudal era. Demons are fighting over the Sacred Jewel (which gives immense power to anyone who possesses it). Kagome tries to prevent a demon from flying away with it by casting an arrow, effectively shattering the jewel in the process, and the shards go flying in every direction. She helps collect the Sacred Jewel shards, and bring down hundreds of demons in the process. Yu Yu Hakusho is about a teenage delinquent named Yuusuke who unexpectedly dies uncharacteristically by pushing a young child out of the way of an oncoming car, sacrificing his own life. Nobody in the Spirit World knows what to do with him because they didn't expect him to die that day, let alone by a selfless act. To reward him/not knowing what to do, the Spirit World gives him another chance at life, and he becomes a Spirit Detective, hunting down malevolent demons. Both series have plenty of action, humour, and a splash of romance every now and then. Both are over 100 episodes, so it'll be something to keep you entertained for a while. They're both definitely worth the watch. Just a note, Yu Yu Hakusho was made by the guy who wrote HunterxHunter.
If you liked
xxxHOLiC
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...then you might like
Death Parade
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xxxHolic is about a wish granting shop that's run by the wise enigmatic Yuuko and her apprentice Watanuki. The client expresses their wish, and they have to give back something of equal value in return. In Death Parade, when two people die at the same time, they're sent to be judged. The two people who just died are forced to play a game that's decided at random (billiards, a video game, darts, etc), and one is sent to Hell, and the other is sent to be reincarnated based on their behaviour and tactics during the game (they are not told that they are dead, and that they are playing for their lives, which changes someone's outlook pretty quickly). Both shows are overall episodic, and can make you question your morals. What would you be willing to do or give up in exchange for your heart's deepest desire? And what would you do if your life was on the line during a game against a stranger, or a loved one?
If you liked
Sora no Otoshimono
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...then you might like
B-gata H-kei
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Sora no Otoshimono is about an angel named Ikaros who comes down from the sky and changes a teenage boy's life forever. B Gata H Kei is about a girl named Yamada who's goal is to have sex with one hundred boys- but the problem is she hasn't kissed even kissed one boy. Both stories are ecchi, comedy, and romance.
If you liked
Hanbun no Tsuki ga Noboru Sora
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...then you might like
Hotarubi no Mori e
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Hanbun no Tsuki ga Noboru Sora is about a teenage boy who contracts Hep A and ends up in the hospital, isolated from his family and friends. He meets another patient, a beautiful moody teenage girl, and they grow closer, but she doesn't have much time left to live. Hotarubi no Mori e is about a young girl who gets lost in a magical forest and meets a spirit, who she is not allowed to touch or he'll disappear. Both are tragic love stories, and are heart-wrenching to watch.
If you liked
Gintama
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...then you might like
Ansatsu Kyoushitsu
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Assassination Classroom is about a school's class E (the lowest class in their prestigious school) being assigned a top secret mission to kill their teacher, a bizarre happy-go-lucky alien octopus, by the Japanese government. Their teacher plans to destroy the Earth by next March if they fail their task. Gintama is about a misfit trio who work as Jack of all Trade types in a strange Edo-like era with up-to-date gadgets that has humans and aliens from all walks of life. The situations in both series are random and unpredictable and both shows are absolutely ridiculous, yet really funny. Assassination Classroom would fit right into being a Gintama arc. Assassination Classroom is a continuous show, while Gintama is sometimes episodic and sometimes has arcs (ranging roughly from 2 episodes to 10 episodes approximately). As I said, both shows are really strange, but if you like one, there's a good chance you'll like the other.
If you liked
Fruits Basket
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...then you might like
Kuragehime
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Princess Jellyfish is about a reclusive girl with a jellyfish obsession named Tsukimi who lives in a boarding house with other outcast women with an adamant aversion to "pretty people" (normal society), and each has their own random obsession/fetish that is deemed weird by society. Tsukimi meets a strange stylish woman who encourages her to follow her dreams. Fruits Basket is about a friendly kind-hearted girl named Torhu who befriends the Sohma family, who has a secret that 12 of their family members turn into a different animal of the zodiac when touched by a member of the opposite gender or stressed. While the plots are inherently different, they share a similar atmosphere and the theme of friendship. Both girls are social outcasts (although it doesn't bother Tohru as much as it bothers Tsukimi). There are other similarities, such as Tsukimi and Tohru both losing their mothers, which affected them deeply, and trying to find their place in the world. Both series gave me a warm fuzzy feeling inside.
If you liked
Cat Street
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...then you might like
Suki tte Ii na yo.
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The protagonist of both stories is a reclusive girl who doesn't have any friends because of a scarring childhood incident. She meets someone who opens her world, and she begins to develop strong friendships with good people. The girls have to deal with school, home problems, and frenemies. Also, both dabble in the fashion/acting world.
If you liked
Paradise Kiss
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...then you might like
Nousatsu Junkie
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Both protagonists (Yukari the protag of PK, Naka of NJ) are aspiring models who team up with moderately successful people with connections, giving both careers a real push on the fast track. Naturally, the relationships that the girls develop with their work peers are complicated, other themes in the stories are fashion, crossdressing, and figuring out life decisions.
If you liked
Deadman Wonderland
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...then you might like
Another
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Deadman Wonderland and Another heavily revolve around death. The protagonists in both series deal with different types of lethal misfortune that they have no control over, and a strange mysterious girl who they befriend. There is a lot of blood in both anime (which I can't go into without revealing spoilers).
If you liked
Fruits Basket
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...then you might like
Hana no Namae
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Both of the female protagonists Tohru (Fruba) and Chouko (Hana) are orphans, and by different circumstances, end up living with someone they don't know. Both love interests are moody, although Kei (Hana) is more antisocial than Kyo (Fruba). The characters in both stories carry emotional scars from the past, and both male love interests don't want to taint or drag down the female protagonists with them. Although, Tohru and Chouko are both optimistic and are able and willing to heal the pain of Kyo and Kei. There are also smaller resemblances like both girls are allowed to live in the home in exchange for doing the housework (Tohru had a choice, and Chouko didn't), both girls garden, and they both also live with an older author.
If you liked
Hanasaku Iroha
|
...then you might like
Gingitsune
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The shows have similar feel good (for the most part) atmospheres, and both Ohana and Makoto are the typical cute girl who tries very hard in everything they do, while they learn life lessons and strive to better themselves.