Recommendations

They Say I was born the King's daughter is a good one,
Reminiscence Adonis is another, there are a few more, but I gotta look through a whole archive to find them.

http://www.mangago.zone/home/mangalist/193553/

Here is a list of mangas etc of the mc being reincarnation

look at my list if you want something similar XD
http://www.mangago.zone/home/mangalist/336823/

ya I also read those and they are the best.(๑•ㅂ•)و✧(⌒▽⌒)ヾ(❀╹◡╹)ﾉ~ ٩(๑❛ᴗ❛๑)۶ლ(´ڡ`ლ)

I think Otome game no hametsu flag is pretty similar, I like it since it’s funny and romance is a bit more obvious.

Just caught up with I was born the King's daughter. Really enjoyed it!

Ah yes Born the king's daughter is a really good one!

Otherwise there is Reminiscence Adonis
http://www.mangago.zone/read-manga/reminiscence_adonis/
The heroine is a strong sword woman that died and return to her past and decided to change something (she has a tragic past but the manhwa is currently giving her a better path).
She is a strong swordwoman thanks to her hard training, and she has strong magic too.

Reading Reminiscence Adonis. I love the MC!

if you like this genre, check my list
http://www.mangago.zone/home/mangalist/335334/