Recommendations

In both FL is a modern day doctor who ends up time traveling to the past where she uses her medical skills to heal the ML. Both contain palace intrigue, royal characters, and romance.

Modern day FL and historical ML meet and fall in love due to time travel.
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In both one of the leads time travels from modern day to the past and falls in love with the royal ML whose life is being threatened by his family.

Modern day FL time travels to the past, falls in love with the ML.
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Both are short dramas in which the FL is in another girl's body.
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Modern day FL time travels to historical time, meets and falls in love with ML.
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Modern day FL and historical ML who meet and fall in love due to time travel.
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Both dramas feature a royal ML from the past, modern day FL, and time travel.
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FL enters the body of a different girl, falls in love with royal ML.
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Modern day FL in fictional historical world, royal ML suffering from some illness only she can treat/cure.

Both are short dramas in which the FL is in a fictional story (tv drama vs. manga) and falls in love with the plot's villain.

FL is from a different world, travels to historical times, and meets the ML who is suffering from some illness she can treat/cure.

Modern day FL time travels to the past, falls in love with royal ML.
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FL enters the body of another girl and must live her life. Main couple clash/dislike each other at first, but later fall in love.

FL travels from modern day to historical times. ML is unique in some way (strange illness vs. being non human) and intrigued by the FL before he falls in love with her.