I don’t know why but all I can think of are historical dramas?
Fulfills all of the aspects you’ve asked for:
The Story of Minglan but be advised the main leads take a long time to get together
I’ve Fallen For You she does chase him first but he falls in love first really
The Tale of Nokdu
Legend of Fuyao
Fulfills most of the aspects you’ve asked for:
The Princess’s Man they fall in love around the same time (him maybe first) but she comes across as more in love/sacrificial for a good portion of the drama as he tries to hate her because they’re star crossed lovers
The King Loves/The King in Love I guess whether or not it’s happy for you depends on who you ship with the main girl (who isn’t smart or capable the way Mika from YAMH or Minglan is but she’s not completely dumb either)