Soredemo Sekai wa Utsukushii
Dame na Watashi Koi Shite Kudasai (not necessarily kidnapped but schemed)
Hadashi de Bara Wo Fume (you could say she's in danger)
Dame Na Watashi Koishite Kudasai (not kidnapped but schemed and the guy helps her)
Soredemo Sekai Wa Utsukushii (after a certain point she gets kidnapped multiple times)
Dangeki Daisy
Ah! Yes that's a really good one. I completely forgot about it
Akatsuki no Yona (she learns to save herself later on
Also, Mahoutsukai no Yume
Can anyone recommend me some romance manga where the girl gets hurt or is in danger somehow? I have read some where the girl is kidnapped and stuff and I like when the guy has to come rescue her. Can anyone please help me find more?