Are there any shows where the female lead loves the male lead, but not for who he is. She loves an idealized version of him and the male lead tries to live up to those expectations for her, but isn't able to do it. Maybe there's a second male lead who fits that idealized version, but in the end she comes to her senses and realizes she loves the male lead for who he is.


"Cunning Single Lady", maybe?

Well, "Material Queen" fits exactly what you are searching for

at present only one drama come up in my mind but there is no 2ML  FL try and expect may be ML change himself for her ML try many times to change for her but  he cant so there are many situation where FL left ML and each times end up with ML

siyah beyaz ask

Healer | she meets the ML as two different people, "healer" and a rookie reporter. She idolizes Healer at first, but as she slowly comes to know all of him, she falls in love with "the guy behind the mask". 

Weightlifting Fairy Kim Bok Joo | except she idolizes and develops a crsuh on the 2ML. 

My ID is Gangnam Beauty | FL had the wrong idea of the ML (thought him cool and unapproachable) but as she learns more about him she falls in love. 

Black | also fits. FL has always idolized her childhood crush (ML). 

She was Pretty | fits but with a role reversal. ML idolized his first crush and childhood friend. FL has changed a lot, though, but he eventually falls back in love with her. 

Cheese in the Trap | Sort of fits. FL thought ML was strange and creepy at first, then falls in love with him as she gets to know him.