Modern day FL time travels to historical time, meets and falls in love with ML.
.....................................................

Modern day FL and historical ML who meet and fall in love due to time travel.
....................................................

Both dramas feature a royal ML from the past, modern day FL, and time travel.
..........................................................

FL enters the body of a different girl, falls in love with royal ML.
.................................................

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.
..........................................................

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.

Both are lighter dramas with a FL who comes from a different world and enters the body of a girl who has died, taking over her life. ML is royal, suffers from some medical condition, and is initially antagonistic/threatening toward her, but she is the only one able to help/cure him. There is scheming within his family to replace/kill him.

Modern day/future FL travels to the past and falls in love.
...................................................