The Moon that Embraces the Sun (after a childhood tragedy, a king meets a woman who reminds him of his dead first love. Of course, it's her (it's no spoiler, the viewer already knows that) but the girl herself isn't aware of who she is)
Orange Marmalade Don't wanna spoil anything, but at some point, you'll see that it's not the first time in history those two characters met in the lives cycles
You who Came From the Star An imortal alien meets a woman who reminds him of the girl he met when he first came on Earths, hundreds of years before
Gu Family Book You've got the entire package for this plotline, amnesia, birth secrets, immortal character, reincarnations...plus, it's a must-watch in every domain, so go and watch it.
that's all I can think of right now, I'll come back with more later