If you want to stay with the same feel as Healer (romantic drama with some comedy but has some serious moments that add to the main relationship) I'd say Noble My Love, Masters Sun & It's okay, Thats Love.
If you just want something to cry your eyes over: Scent of a Woman & Secret
A good historical drama: Queen In Hyun's Man, Scarlet Heart
if you're looking for a solid bromance: Cruel City, Bad Guys, Ouroboros
& if you're willing to try more non Korean dramas I recommend Boss & Me, a the Queen of SOP, & Lady & Liar