 If you liked
Tsubasa Chronicle
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 ...then you might like
Bishoujo Senshi Sailor Moon
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Alright, this kind of HAS to be here. The format of the show is not that much similar, however, the background stories of the main characters and the underlying theme of meeting in another life, not to mention the whole Princess plot and various kingdoms in different dimensions/on different planets, gives me a very similar vibe.