Both are very fluffy and warm dramas with a similar feel. Both have animal MLs.
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Both are fluffy cute dramas in which one of the main characters is an animal in human form.
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The ML is an animal in human form (cat vs. bear). Both are fluffy, feel-good dramas.
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Both are light shows with an animal lead (cat vs. bear).
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One of the leads is an animal who appears as a human (bear vs. cat) and is helped by a human. Both are warm shows.

In both the ML is an animal (bear vs. cat) who appears as a human.
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Both are short dramas in which the FL enters the world of a story and ends up altering the plot, sometimes intentionally. She also ends up falling in love with the villain of the story.

FL is murdered by the ML, returns/enters the world, and must try to change the plot in order to survive. Over time the ML falls in love with her. Both are short fast=paced dramas.

Both are short dramas with the same actor. In both someone enters the world of a story and must change things to survive which leads them into a relationship with the villain.

FL enters a novel and finds herself married to the ML, the villain of the story. She must change the plot in order to insure that her written death doesn't happen, and in the process the couple fall in love.

FL enters the world of a story (novel vs. drama), initially views the ML as the villain. The ML distrusts her at first but slowly falls in love with her.

Both are mostly light dramas with a similar feel. The FL is from another world and arrives in the historical/other one in the body of an "ugly" maid vs. "ugly" concubine. ML is royal in both.