If you liked
Dance with Devils
|
...then you might like
Visual Prison
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Two words: Elements Garden. Dance with Devils and Visual Prison are musical anime about angsty vampires with the songs composed by the same people. Of course Dance with Devils is a reverse harem romance and attempts to do a plot, while Visual Prison is delightful fujobait with an interesting setting... but I'll take a guess that if you're looking for recommendations based on either of those shows, you're not looking for those things, you're looking for what is the best part of both shows: the songs. The songs are fantastic in both and if you liked one of them based on the musical elements, you're sure to like the other as well.
If you liked
Dance with Devils
|
...then you might like
Fairy Ranmaru: Anata no Kokoro Otasuke Shimasu
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Both are anime with a heavy emphasis on pretty boys and music, with one really catchy song each episode. Fairy Ranmaru is on the gay end of the romance spectrum while Dance with Devils is straight, but both have a very similar "feel" to each other.
If you liked
Gugure! Kokkuri-san
|
...then you might like
Kakuriyo no Yadomeshi
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A girl lives surrounded by youkai. While Kokkuri is a comedy and Kakuriyo is more of a slow romance, they're both reverse harems involving Japanese mythological beings, so there's a good chance you will like the other if you like one of them.
If you liked
Kamisama Hajimemashita
|
...then you might like
Kakuriyo no Yadomeshi
|
These two shows have a very similar premise and are inspired by the same type of Japanese legends. They also have the same general feel and aesthetic.
If you liked
Silent Möbius
|
...then you might like
Genei wo Kakeru Taiyou
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Gen'ei wo Kakeru Taiyou is nearly a clone of Silent Mobius, with more up to date art. The last few episodes particularly had exactly the same plot points, so if you enjoyed one of them you're fairly sure to enjoy the other. Or rage, depending on which one you watch first.
If you liked
Digimon Adventure
|
...then you might like
Mujin Wakusei Survive
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Both feature children stranded on islands, surviving on their own (shaky) merits and aided by strange creatures. Although Survive is more mature and realistic than Digimon 01, both have the same strong friendship themes and slow character development. On the other hand, Survive lacks battles and power-ups, so if your interest from the Digimon side is in that (or, coming from the Survive side, you can't stand that), avoid. Otherwise these two are really two titles that just fit.
If you liked
Princess Tutu
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...then you might like
Hamelin no Violin Hiki
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Both have a strong focus on classical music, combined with a fairytale setting. In Hameln, the music interacts directly with the setting, while in Tutu the dance is the 'magic power'.
If you liked
Hotori: Tada Saiwai wo Koinegau
|
...then you might like
Hanbun no Tsuki ga Noboru Sora
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Both are heartwreching tragedy themed series, set in similar surroundings and with similar characters. The story is narrated from the young male lead's point of view, who becomes fascinated by a sick girl who rests very near to him. The male leads are in similar contrast to the girl in that they aren't in prime health, but have a future in front of them and know when they will leave their hospital surroundings, while the girl is, in each case, clinging to her memories, trying to live as best as she can under her conditions in the now, and awayting the inevitable death. For the girl, the boy becomes both her escape and her tie to reality. But despite the similarities, they both are distinct series with characters strong in their own right, with different motives. Both series are shoujo, meaning they are strongly focused on humans and emotions. Hanbun no tsuki is longer, but as far as series go, it's still short. Hotori and Hanbun no tsuki are very close to each other in plot, theme and execution. If you liked one of them, you'll almost certainly like the other.
If you liked
Hikaru no Go
|
...then you might like
Piano no Mori
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Despite the huge difference in size, they're both series about young people affirming themselves in their chosen fields. Both contrast talent and experience, and both put passion and love for music/go above all other. Also, probably most importantly, they're both incredible at raising the self-confidence to follow our own talents.