If you liked
Ginga Kikoutai Majestic Prince
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...then you might like
Etotama
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An odd recommendation, true, but I'm making this one purely on the basis that these 2 shows are the ultimate proof that, in the right places, 3D-CGI can make possible some of the most awesome action anime has to offer. If you aren't convinced that 3D animation has legitimate merit, then with any luck you'll find that these shows will put your unwarranted distaste for it to rest. Both are also pretty funny, with the key difference being that Ginga Kikoutai Majestic Prince doesn't seem to be like that on purpose. Etotama's packed with anarchic scenarios and larger-than-life characters that make it a laugh-a-minute series, while Ginga Kikoutai Majestic Prince is simply amusing as a result of how utterly terrible the writing is in contrast with its stellar visuals.
If you liked
Yosuga no Sora
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...then you might like
Yuri Kuma Arashi
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One of the fundamental conventions of romantic fiction is the notion of love and compassion holding fast in the face of adversity, but what happens when the adversity that faces a love-struck couple is a widely-accepted social standard? Pride gets in the way, and the idea that people should conform to particular norms and values is in conflict with the core principles of romanticism. Yosuga no Sora and Yuri Kuma Arashi share remarkably similar ideals; they have very similar endings despite a distinct difference between their generic conventions and narrative style. At heart, both shows are about the underlying hypocrisy that taints the average romance, and they use an unusual narrative structure to explore that theme.
If you liked
Kill la Kill
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...then you might like
Ansatsu Kyoushitsu
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The hilarious antics and OTT battles that characterise Ansatsu Kyoushitsu and Kill la Kill do nothing to undermine surprisingly strong and insightful character focuses and compelling conflicts that can get seriously intense. Imaginative and strange without being overly silly, both shows are perfect for people who love creative visuals, fun scenarios and nuanced protagonists.
If you liked
Moetan
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...then you might like
Ore, Twintail ni Narimasu.
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Both shows are ecchi parodies of popular genres. Ore, Twintails ni Narimasu parodies live-action tokusatsu shows like Super Sentai. Moetan parodies magical girl shows. The emphasis rests on fairly nonsensical storylines, and they both regularly state that the audience should just accept what's going on without thinking about it too much. They're both pretty fun, but they certainly won't be to everyone's tastes.
If you liked
Devil May Cry
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...then you might like
Bayonetta: Bloody Fate
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These two anime are adaptations of video games by the same creator that incorporate a number of similar ideas and mechanics. If you've played either or both of the games then you'll probably find the animated versions to be enjoyable, but they are definitely less accessible for non-fans. Devil May Cry successfully integrated new plot elements and ideas well, though it does leave the backstories of the central characters largely unexplained. Bayonetta is a largely faithful adaptation of the original source material, but time constraints mean that a considerable number of prominent in-game events (including several boss fights, most notably the final battle, as well as some of payoff for the character arcs) are rushed or reduced to simple homages to the source's content. The already convoluted story becomes even harder to follow. Fans of the games are likely to enjoy them, but these adaptations are not really suitable for those who are not well-versed in the source material. Devil May Cry is certainly more accessible than Bayonetta is, largely as a result of its standalone plot that isn't overly dependent upon pre-existing story arcs. Bayonetta, on the other hand, feels like it'd only make sense to those who experienced the original story in full.
If you liked
Kill la Kill
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...then you might like
Sekai Seifuku: Bouryaku no Zvezda
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Both of these shows embody a trend prevalent (but not universal) in recent releases, highlighting a gulf between sexualisation and objectification. Despite being portrayed with sexual motifs, both female leads in these shows (Ryuuko in Kill la Kill, Kate in Sekai Seifuku) are wilful, determined characters who are never reduced to helpless plot devices. They can hold their own in a fight and are emotionally vulnerable without being subjected to typical feminine stereotypes (such as a hopeless infatuation with the male lead or an inability to cope with stressful situations). From a genre perspective, Kill la Kill is action-heavy and intense, being permeated with huge battles and engaging character development. In contrast, Sekai Seifuku feels more like a slice-of-life comedy with action and character development weaved in, making it less consistently energetic and more chilled. However, both are similarly over-the-top and funny.
If you liked
Angel Beats!
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...then you might like
Kamisama no Inai Nichiyoubi
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In terms of the mild tone, use of simple characters and a few fairly intense moments of action and others of seriously emotional drama, Angel Beats and Kamisama no Inai Nichiyoubi are fairly similar. There are elements of supernatural concepts that specifically revolve around a form of afterlife, ambiguity surrounding the existence of a god and, unfortunately, similar pacing issues.
If you liked
Hataraku Maou-sama!
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...then you might like
Servant x Service
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What a lot of comedy anime lack is a sense of genuine progression in the relationships and dynamics between the characters. Not only do both Servant x Service and Hataraku Maou-sama both show genuine development, but they also incorporate conventions of romance (as well as action in Maou-sama's case) without ever really coming across as angsty and melodramatic, and without dropping their humour.
If you liked
Vividred Operation
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...then you might like
Choujigen Game Neptune The Animation
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Both are cute series that balance moe comedy with action and some light ecchi. Simple, cheesy little stories with very little depth, but enjoyable enough if you want something that's not too challenging. Friendship appears to be a shared theme.
If you liked
Kodomo no Jikan (TV)
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...then you might like
Yosuga no Sora
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Both are ecchi dramas that make use of large amounts of fanservice without sacrificing effective narrative, deep characterisation and thought-provoking themes. The use of fanservice within both shows is integral to reflecting the overarching themes. Both also feature some controversial content (lolicon fanservice in Kodomo no Jikan, incestuous relationships in Yosuga no Sora).
If you liked
Ima, Soko ni Iru Boku
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...then you might like
Shingeki no Kyojin
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Though both have elements that constitute an action series, it's my personal feeling that these two fit into the drama genre as well. Both have strong-willed and idealistic lead protagonists, a grim setting and a lot of dark themes.
If you liked
Tokyo Magnitude 8.0
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...then you might like
Ano Hi Mita Hana no Namae wo Bokutachi wa Mada Shiranai.
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Putting aside one very similar plot element, these two shows also have very similar tone and pacing. The finales of both shows are guaranteed tear-jerkers.
If you liked
Romeo x Juliet
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...then you might like
No.6
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Both share similarities in terms of execution and ideas, depicting 2 contrasting characters with different backgrounds and the developing relationship between them. They both take a rather surreal turn in their final episodes.
If you liked
World Embryo
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...then you might like
Deadman Wonderland
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Similar tone, with detailed, destructive battles. World Embryo does not have the level of gore that Deadman Wonderland has but it certainly reminds me of DW.
If you liked
Seikon no Qwaser
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...then you might like
High School DxD
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While both carry the traits of a more typical shounen anime, there is also a heavy emphasis on more extreme levels of ecchi content. Regardless of their lack of any particularly extensive narrative depth, both are very enjoyable action series with great characters and decent fight scenes.
If you liked
Mahou Shoujo Madoka★Magica
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...then you might like
Black★Rock Shooter (TV)
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Both shows combine moe character designs with dark themes, psychological aspects and action.
If you liked
School Days
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...then you might like
Mahou Shoujo Madoka★Magica
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Both shows take the conventions and ideas of an established genre and rework them into a dark series with a heavy emphasis on negative character development.
If you liked
Death Note
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...then you might like
Psycho-Pass
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Similar gritty tone with several shared themes. Psycho-Pass places a heavier emphasis on action but, much like Death Note, does not rely on action to progress the story.
If you liked
Sora no Otoshimono
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...then you might like
Kore wa Zombie desu ka?
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Sora no Otoshimono and Kore wa Zombie Desu ka are both supernatural ecchi comedy series with good actions scenes. The latter uses less ecchi and has more fights, while the former places a greater emphasis on humour and less on action. They're both fairly similar though.