"Handsome" is subjective so I don't know if you will agree with my choices but based on your list of completed dramas and my own tastes and preferences here are some dramas I would suggest: Flower Boy Ramyun Shop She Was Pretty The Heirs
I'm not sure if you are looking for dramas where the male lead is younger than the female lead like in I Hear Your Voice but if that is what you are looking for Flower Boy Ramyun Shop would still be a good fit---also try High School King of Savvy (I love this one), and I Do, I Do.
maybe you should watch teen dramas like Sassy Go Go, To The Beautiful You, Dream High, School 2013, Because it's the first time. All of these dramas have really good looking young eye candies :)
you could love these: 1- Healer 2- High-end Crush 3- Innocent Man 4- Kill Me, Heal Me 5- Oh My Venus 6- The Greatest Love 7- She Was Pretty 8- Pinocchio 9- Oh My Ghost 10- Cunning Single Lady 11-City Hunter 12- Dream High i wish you a wonderful time (^_^)