 If you liked
Tsubasa: RESERVoir CHRoNiCLE
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 ...then you might like
Akatsuki no Yona
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Sakura and Yona are both princesses of a country and ends up going on an adventure with their childhood friend/love interest. Syaoran and Hak are both strong characters and protective over their princess and whilst they both have feelings for their princess, it's more or less one sided :(
Storylines are not that similar but they're both adventure genre - but just beware the plot in tsubasa does get very convoluted till the end. Major difference is that AnY is shoujo and Tsubasa is shounen but to be honest, I think both have around the same amount of action to drama to romantic scenes