Here are some of my favourite underrated dramas:
Fated to love you (REALLY good!! it kinda parodies k-drama cliches in a really funny way. also made me cry lol)
Live up to your name (really cute!! and interesting plot)
Fiery Priest (not romance, but still really has that friendship heartwarming and funny feel.)
Be melodramatic (a really good and fresh rom-com)
30 but 17 (cute and funny)
Strongest deliveryman (underrated but also good)
It's ok that love (it's not really underrated, but I don't see it get recommended that much anymore. it's amazing!)
Live (really cute and heartwarming, also has that slice of life feel. same writer of 'its ok that love')
High kick: revenge of the short-legged (one of my favourite comedies, makes me laugh out loud every time. Lee Jong Suk and Kim Ji Won are in this, if you're a fan)
Sound of your heart (another extremely funny comedy, it's on Netflix. Lee Kwang Soo's in it)
I can hear your voice (really good romance with an intriguing plot)
Master's sun (also a good romance and nice plot)