If you liked
Gyakkyou Burai Kaiji: Ultimate Survivor
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...then you might like
No Game No Life
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Those two animes have very few in common. Art is totally different, Kaiji has a mature feeling without any anime cliché, one is fantastic and the other not. However, just because they're not similar doesn't mean you won't like one another. If you enjoyed Sora's point of view, how tricky he acts, how gambles work, and how easy is to mindf*ck someone while playing, you'll love Kaiji. That part is similar. They both will make you think "Oh God, That trick is totally legit! It makes sense!"
If you liked
Panty & Stocking with Garterbelt
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...then you might like
Kill la Kill
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They kinda have the same feel. The sequences are really fast. Both deal with "wrong" topics (such as dictatorship, death, fighting), but in a funny and careless way. The animation is great and singular. Both have a very particular, colourful, and enjoyable art. Lots of gags during each scene. Both have fanservice and sexy gags. Both are quite messed up, though Kill La Kill seems to have a plot to begin with. Overall strange but somewhat epic. If you enjoyed P&S, you'll love Kill La Kill.
If you liked
Tsumiki no Ie
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...then you might like
Tabisuru Nuigurumi: Traveling Daru
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Both are: - Short stories (about 10 minutes) - Simple but heartwarming - Beautifully animated and touching Those two titles teach that even if an anime is short and without any dialogue, it can be a masterpiece.
If you liked
Sora no Manimani
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...then you might like
Ebiten: Kouritsu Ebisugawa Koukou Tenmonbu
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Both are about an astronomy club, but while Ebiten's staff is only composed by female members, in Sora no Manimani there are also male characters. Also, as an anime Ebiten is a little more stereotyped then Sora no Manimani.
If you liked
Haiyore! Nyaruko-san
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...then you might like
Binbougami ga!
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Binbougami ga! started when Nyaruko-san ended, but the feel that those two anime brings are the same: supernatural elements in a comical way, lots of parodies of other animes, similar humor and situation and a little bit of romance. Watching Bimbougami ga! is like continuing watching Nyaruko-san.
If you liked
Jinrui wa Suitai Shimashita
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...then you might like
Mawaru Penguindrum
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Bizarre graphics, funny clips and random moments, which conceals in both animes a darker plot (human starvation in Jinrui and a whole life&death game in Mawaru)
If you liked
Furusato Saisei: Nippon no Mukashibanashi
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...then you might like
Chouyaku Hyakuninisshu: Uta Koi.
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Both are about japanese literature/culture/history , and their main aim is to teach japanese magnificient literature to the audience, instead of telling a main story just like a normal anime. However, both shows are also very entertaining and easy to watch.
If you liked
Ano Hi Mita Hana no Namae wo Bokutachi wa Mada Shiranai.
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...then you might like
Natsuyuki Rendezvous
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A single person can see a ghost which is related to the people he knows, The ghost appears to have a wish that the protagonist must fulfil for him.
If you liked
Denpa Onna to Seishun Otoko
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...then you might like
Tsuritama
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Both main characters are self-proclaimed aliens, and they're surrounded by even stranger people. Both animes are set in nice and detailed cities, and they both also have a plot line that changes frequently.
If you liked
Ga-Rei: Zero
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...then you might like
Senki Zesshou Symphogear
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Both begin with the ending, and the whole story afterward is a sort of flashback. Similar concept: a secret organization fighting against monsters, a team composed by two girls which have a friends-enemies relationship, lots of deaths and sad moments, due the troubled mind of the protagonists.
If you liked
Ragnarök The Animation
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...then you might like
Eiyuu Densetsu: Sora no Kiseki The Animation
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Similar characters with different abilities, they both have medieval-fantasy settings, wizards, spell with similar names. Also, in Eiyu Densetsu there are similarities with Ragnarok Online MMORPG (such as the flying ship or the guild)
If you liked
Kannagi
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...then you might like
C³
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Both main female characters were "born" as an object and hosted in the protagonist's house. Similiar humour and situations.