- Healer - very young childhood
- Hello Monster - FL was the ML's "stalker" / sort-of-friend
- I Hear Your Voice - the leads met in childhood; the FL helped the ML and the ML vowed to protect her
- I Need Romance 3 - the FL looked after the ML when they were kids
- Pinocchio - the leads grow up together
Also this one is from Taiwan and the leads meet in high school, but I strongly recommend In Time With You. The ML develops a crush on the FL in high school, where they are sort-of rivals (mainly from her perspective). He sort of starts a friendship with her, but for fear of losing her he starts it by saying that he'll never have feelings for her (in the moment she's a bit biased against love). Later in life they become best friends. It requires a little bit of patience, but since you specifically wrote that you're open to suggestions where the FL dates someone else first, I thought I'd mention it.