 If you liked
Seirei no Moribito
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 ...then you might like
Genji Monogatari Sennenki
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When watching both series it feels like you are reading some piece of classical Japanese literature. They are both dedicated to politics and mystery, though Genji is certainly has much more of romantic mood; meanwhile Seirei no Morbito is more about action and mysterious creatures.
Background for both series is ancient Japan and both princes are deprived of any rights for throne.
If you like esthetically charged Genju Monogatari you have to watch Seirei no Morbito as well.