Nice, I'm a sucker for this kind of story lines!
First: the mother of all stories with all elements combined: https://mydramalist.com/2987-boys-over-flowers/ https://mydramalist.com/698-hana-yori-dango / https://mydramalist.com/141-meteor-garden
Second: https://mydramalist.com/16159-go-princess-go- campy story and gender swap as well! The manly princess feels attracted to the concubines of her husband. Her husband hates her/his guts at first, but soon regrets his actions.
Afterwards: some rom coms (though the female doesn't "pursue" the male lead that much)
https://mydramalist.com/16921-go-hos-starry-night - She's way to busy with men at work to notice her starry eyed boss
https://mydramalist.com/88-prosecutor-princess - She's so eager to catch the prosecutor, she doesn't notice the male lead
https://mydramalist.com/2471-love-keeps-going - she's a sweet caring girl fulfilling every need of her boyfriend, highly irritating his brother
https://mydramalist.com/3623-sound-of-the-desert - she falls in love with a calm and kind scholar, and doesn't see the efforts of a handsome, cold general who stood her up the first week they met.
https://mydramalist.com/3708-arang-and-the-magistrate - an arrogant magistrate, totally full of himself, reluctantly helps a female ghost to resolve the mystery of her death. He turns into a gentle loving character. She falls again for the bad boy, her former fiancee.