I’ve watched a few British shows like:
Being Human and
Misfits (both shows are scifi)
but beyond the too many american shows to name that I watch, some of my favorite K-Dramas were:
Faith (almost every episode is a tear jerker)
Shut Up Flower Boy Band (one of my favorites so far)
Daljah’s Spring
Mary Stayed Out all Night
To the Beautiful You
You’re Beautiful
Heart Strings
Personal Preferences (Personal Taste)
Monstar
I Miss You (another tear jerker)
SungKyunkwan Scandal (another all time fav)
You’re the Best Lee Soon Shin
Jung Yi, Goddess of Fire
Protect the Boss (loved)
and a bunch of others that I can’t remember off of the top of my head right now.