 If you liked
Hanbun no Tsuki ga Noboru Sora
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 ...then you might like
Tayutama: Kiss on My Deity
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Both anime feature the romance genre. The story of the two are relatively similar, even though Hanbun may not have the magic element to it. Both anime started with a strong story which evolved into a moderately bittersweet ending. Good if you like 'touching' type endings. Those who have watched one are encouraged to watch the other.