Both are historical mini dramas in which the FLs are spirits sent to complete a task relating to the ML.

Both are historical mini dramas in which the FL is a deity/spirit who comes to earth on a task relating to the ML who is feared by everyone around him. She quickly sees past his reputation and later falls in love.

Both are about a modern day FL who enters a fictional historical world, bonds with her new family there, and comes up with clever ways to support them in the countryside, all while falling in love with the ML.

Both are mini dramas with a rich person who ends up in the countryside and stays there for a while, learning how to live and falling in love with one of the locals.

Both are Korean fantasy/historical dramas in which the main characters have magical powers and a similar style of hair/dress. Both have strong wuxia influences.

Same story, different version. Both are based upon the manga with the same characters and general plot but have different interpretations of the story.

Same story, different version. Both are based upon the manga with the same characters and general plot but have different interpretations of the story.

Same story, different version. Both are based upon the manga with the same characters and general plot but have different interpretations of the story.

Same story, different version. Both are based upon the manga with the same characters and general plot but have different interpretations of the story.

One is the drama, the other a spin-off with additional stories with the characters.
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Both have shamans, dark magic, and evil, as well as a royal lead under some sort of a curse. Both dramas have a similar vibe.