King Is Not Easy (2017)

Both dramas have the main characters swapping bodies and experiencing a new perspective on life as a result.

Both are historical dramas with a fantasy/time travel twist about an emperor ML and a FL who likes to cook.

Both have the ML and FL who lead very different lives accidentally body swapping due to some natural event (eclipse vs. lightning) and undergoing character growth as a result of the swap.

You can find there the same kind of sweet chinese humor. Both dramas have a lot of magic and romance.

Both are historical fantasy dramas in which the FL swaps bodies with the emperor ML.
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In both the ML swaps bodies (with the FL vs. his sister) resulting in positive character growth and some humorous moments.

Both dramas have these funny skits at the end/begging of each episode. Delightful girl Choon Hyang has historical skits while the main story is set in modern time and King is not easy has modern skits while having a historical setting for the main story.

Both dramas are set in the palace in historical times, with an emperor ML and a FL who is very talented in cooking. Both are lighter, enjoyable dramas.

Both are food-focused romances in which the FL finds love with the last perfect she expected.
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They are very similar productions. Both Royal harem comedies, of high quality (sadly too few eps) where the female lead does NOT have a high pitched voice or a completely vapid personality.

Both are historical dramas with a chef FL and delicious-looking food.
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Both series involve an emperor's soul being swapped with that of a random female of relatively low status which then causes chaos.

They are similar because it is about time traveling and in the king is not easy they switched souls and, in the dreaming back to Qing Dynasty is the same , but in here they lost memory of their beloved one (of each other). both Dramas also wanted to find a way to resolve this.

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