If you liked
Gosick
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...then you might like
Danganronpa: Kibou no Gakuen to Zetsubou no Koukousei The Animation
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For the mystery murder part, the two have a very similar vibe, as the resolutions of the murders are very fast but are logical and interesting. Also, the fact that the detective is the sub-protagonist Victorique/Kirigiri and her "assistant" is the protagonist Kujo/Naegi is very similar, due to all of them having similiar personalities (well, Victorique is a bit mean but she can be as serious as Kirigiri if the situation deserves that). There is a major plot behind the two as well that happens in the second half where no more murders will practically occur, and if they do, it's totally relevant to the plot. So, if you liked the style of cases in Danganronpa, give Gosick a try. Both are very well done.
If you liked
Lucky☆Star
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...then you might like
Oshiete! Galko-chan
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Two series where the "plot" are only conversations between the main characters. Though in Lucky Star the thematics are very variable, the way they're told are the same.
If you liked
Toradora!
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...then you might like
Gosick
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The relationship between the main protagonists is very similar, and not only that but they are even similar to each other. The main girls in both are of extreme edginess and also very agressive. The main boys are both calm and are very feared in school (for very different reasons though). Basically, in the plot is when they differ but in the romance... it's the same.
If you liked
Suzumiya Haruhi no Yuuutsu
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...then you might like
Bakemonogatari
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Both are good satires of many cliches and anime tropes. Also, they have a lot of references to other media, and in a good way. To fully enjoy both, you have to switch off the common sense because you're gonna be hurt. Fortunately, even while making fun of themselves, the two achieve to tell a well-written story that arrives on people hearts.
If you liked
Kill la Kill
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...then you might like
Keijo!!!!!!!!
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At first both seem like just fanservice action/sports series but don't get it wrong, because both start to grow and are finally awesome! I have to say they dida very good job at parodying ecchi, as in both, "Ecchi" involves the plot in such a clever way it's brilliant.
If you liked
Shinseiki Evangelion
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...then you might like
School Days
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Both are VERY VERY dark and crazy (in a good way). The psychology of the characters in both shows are very important to understand the series and even to like them. Also, every character isn't evil but isn't also good, they're all neutral, in other words, they're realistic characters. Another similarity is that both are descontruction of their own genres: Harem and School in School Days, Mecha and Action in Evangelion. Personally, I think Evangelion is better, cause of its symbolism and hidden messages, but School Days is also a great show, regardless of what is said about it.
If you liked
Higurashi no Naku Koro ni
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...then you might like
School Days
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The two are completely insane, and are pretty dark regardless of their beginning. Both focus in the psychology of the characters pretty much all the time, making the variable of hate/love in those characters much more difficult. They have differences though; Higurashi is more horror, School Days is more drama... but at the end, I can't spoil but School Days will remind Higurashi for those who have seen it first. I reccomend both to fans of Psychological anime or Horror anime, because they are masterpiece on those genres.
If you liked
Black Lagoon Omake
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...then you might like
Higurashi no Naku Koro ni Kira
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Both are parodies of their respective series, which are very serious and dark in every way possible. Also, both are very funny and don't have sense at all. If you liked the main series, you will like them.
If you liked
Monogatari Series: Second Season
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...then you might like
Noragami Aragoto
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At moments they make you happy, at others they make you cry, at others they make you rage. Monogatari Second Season and Noragami Aragoto, aside of being the two supernatural and sequels, can really be compared because of they're atmosphere. The two know perfectly when and how to manipulate the feelings of the spectator and they do it very well. If you watch them, you're not gonna forget 'em so easily
If you liked
Fullmetal Alchemist: Brotherhood
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...then you might like
Gosick
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Both scenaries are similar, happening in the beginning of 1900s. The two deal with politics, the corrupt government and war. Also, Gosick deals a few with alchemy. The atmosphere is very similar and the feelings as well. If you liked FMA or Gosick, it's pretty possible that you will like the other. Also, Victorique and Ed are equally funny ^^
If you liked
Clannad: After Story
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...then you might like
Gosick
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Both have precious romance, a very dramatic story that will fill your room with tears and a very sadful way to explain how cruel this world is. Also, the romance in both series is very similar, in some ways that I can't tell because it would be spoiler.
If you liked
Clannad: After Story
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...then you might like
Angel Beats!
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Both have comedy reliefs between the drama (if they didn't have this, I would make suicide) but the drama in the two is so big that it's imposible to not feel sad. The two made good reflectings about life and how harsh it can be. Characters in both are lovable, and the most important is that their suffering is yours.
If you liked
Shinseiki Evangelion
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...then you might like
Mahou Shoujo Madoka★Magica
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Teenagers battling bizarre creepy enemies that are suposed to be one thing (angels in eva, witches in madoka) although they are everything but what them actually are. Mind-blowing and desesperation is another thing the two have in common. Every character has a traumatic past or at least a traumatic development.
If you liked
Steins;Gate
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...then you might like
Inazuma Eleven Go: Chrono Stone
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I know this two are not specially similar but if you liked the time-travelling thing in Chrono Stone, Steins;Gate is a very good option to watch cause it explains a lot more the concept of time and can be very funy to apply the Steins;Gate time travel concepts into Chrono Stone.
If you liked
Higurashi no Naku Koro ni Kai
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...then you might like
Mahou Shoujo Madoka★Magica
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**POSIBLE SPOILER** Time travelling, an dark psychotic atmosphere, the main protagonist suffering like a bitch and a lot of deaths (Higurashi's are goriest). Is easy to see their similities cause Rika and Homura are practically the same character, both having to watch their beloved ones diying, having a very serious personality 'cause the timetravels, watch their friends going crazy in some timelines and both are a hidden protagonist. Although the reason why Rika and Homura go through time are different, the two have to be with saving another people. Also, the two are masterpieces and this is practically demostrated with their high rating in MAL!
If you liked
Higurashi no Naku Koro ni Kai
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...then you might like
Steins;Gate
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**POSIBLE SPOILER** Both deal with time travel in order to save someone and in every time loop, the protagonist discover something about the past of the characters involving him. Also, the two have an unexpected main villain (don't wanna say anything more so I don't give more spoilers...). Also have the rest of the main cast helping the protagonist in order to get their goals, and the same kind of humor. And the most important!! Both are masterpieces having a well done use of the time-travelling. Worth watching!
If you liked
Hunter x Hunter (2011)
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...then you might like
Shingeki no Kyojin
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The two have similar action, in the side both are not all "fight-hard" but more psychological action. Interesting changing plot with all full of awesome characters (a lot of cast!!). The Chimera Ant arc in Hunter x Hunter is quite similar to the whole Shingeki series, having their respectively "human-eating" beings. (Also, the design of some characters are SO similar you could say are the same XD)
If you liked
Mahou Shoujo Madoka★Magica
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...then you might like
Fate/Zero
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Both have a good character development, very VERY tragic moments and very tragic characters and a hidden antagonist (although, in Fate/Zero is clear if you watched Stay/night...). Also written by the same author (Gen Urobochi).