I'm watching The Eternal Love and it's put my in the mood for time-travel dramas. There are a bunch out there but I'd like one where the girl goes to the distant past and stays there (happy endings please). Mainly looking for Chinese or Korean.

I've seen: Moon Lovers, Faith, The Eternal Love (obviously)

Re: above user - Cinderella chef does have a happy ending. 

Check these out even if they don't stay there, kind of like Moon Lovers BUT ending together. 

https://mydramalist.com/1480-palace-the-lock-heart-jade (I preferred Scarlet Heart https://mydramalist.com/2969-scarlet-heart to this one, BUT it's got more heartache and sad moments, Moon Lovers was a remake)

https://mydramalist.com/20396-my-only-love-song 

https://mydramalist.com/26812-oh-my-emperor 2 seasons

https://mydramalist.com/31318-spring-flower-autumn-moon ongoing

https://mydramalist.com/21733-rule-the-world this may come up when searching for time travel but it's not, she's a writer and the whole thing is the story BUT she does meet the ML in the last few mins of the ending episode.