I've watched: 

1) I Remember You

2) Doctor Stranger

3) Uncontrollably Fond

4) I Hear Your Voice

You're All Surrounded
Bachelor's Vegetable Store
Baek Hee Has Returned
Healer (they talk about it but they don't focus episodes on it)
Pinocchio
Six Flying Dragons
I can add:

Full House Take 2
Bridal Mask
Equator Man (as teens)
Warrior Baek Dong Soo (...I am considering the two male leads to be the leads here.  I seriously can't recall if the girl met them as a kid or not lol)
One more happy ending
Stairway to heaven
Byakuyako
+1 Kill Me Heal Me, Can You Hear My Heart, & Healer
May Queen
Monster (the 2016 drama)
Blood
Two Weeks (but its not a romance drama)
Time Between Dog and Wolf
it's super dorky but UPrince series: The handsome cowboy they meet as young adults. But it's very corny drama
49 days
Doctors
Shark
Two Weeks

@pigtails4ever I'd forgotten about Blood.  +1 Blood, I know lots of people didn't like it, but I did.