Let's Shake It! (2017)

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both shows have fantasy and romance aspect to them.
both shows have interspecies (alien/human) relationships.

Dali temple is about a girl who accidentally travels back in time (or perhaps is in an alternate world). Upon arriving in the new place she finds herself in Cat form and the only way to revert back to human form is through the use of the five color stone.

Honestly, I'm not doing a good job at doing this but you should diffidently go and check out Dali temple if you like this drama.

Both dramas are about an alien who comes to earth and falls in love with a human. Both are light and quirky dramas.

Lead MC gets possessed by another being. Lead wants to go back to its own country. Both Leads are strongly independent and smart ladies. Comical sometimes. Both shows are adapted from the same author Feng Diu Zi. Both are in a book series too.

Both drama are Historical , comedy and kinda supernatural.
King is not Easy it's about bodyswapp in a mysterious way
Let's shake it is about an alien which takes a human body