 If you liked
Sora wa Akai Kawa no Hotori
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 ...then you might like
Xuhuan Bifang
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Historical setting romances where the girl is forced into a relationship with a warrior prince. Both girls are very unfamiliar with the settings they are forced into. While in Red River, she is from another time period, in Vision of the Other Side, she is a princess who has no knowledge of the regular world.
Both girls take on their situations with a lot of courage and pluck, they are stronger than they seem and both of them strongly affect the warrior men for the better.
The art styles are rather similar too.