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.

ML is of higher status than FL. ML is a scholar, more weak/gentle type. FL solves problems within the family once she marries the ML, including helping his older brother's wife in her unhappy marriage. Similar vibes and tone despite being different in length.

FL has a contract relationship with the ML (pretending to be his sister vs. being his wife for a short while) which is to benefit the ML's father in some way. Both are very short and sweet dramas with happy endings.

Contract/forced marriage between the mains which isn't meant to last blossoms into real love. Both featuring conniving SFL(s) who just will not quit.

Fake/forced marriage between the leads turns into love.
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Lower class FL accidentally ends up in a marriage with the ML (contract vs. switch) but ends up falling in love. Both have lovable bandit characters (FL and her "brother" in HOML, SML in TOD). Both dramas are light and romantic with very happy endings.

Arranged/contract marriage between the FL and the ML who is either a general or the son of a general turns to love. Both are mostly light dramas with a sweet relationship between the main couple.

FL ends up in a forced or contract marriage with the ML who is either a general or the son of a general. The marriage ends up growing into love. Both are light romantic dramas with happy endings.

FL ends up in another girl's body, married to royal ML who is cold toward her at first. SFL is a jealous concubine scheming to get rid of her. At some point the FL gets banished to the distant palace where the ex-concubines live.

The FL ends up in a different world from her own and meets the ML who initially tries to kill her but then slowly falls in love with her. Both are mostly light and fun dramas.