Well it’s a pity you don’t like historical dramas because Jumong, Legend of the first king four god’s(both are about the creation of Joseon) and The Moon that Embraced the Sun are must watch even if you are not a historical drama fan, so you can try those 3 though.
Also some great dramas in my opinion are: Nine times time travel, Time Slip Dr Jin, Rooftop Prince, Queen In Hyun’s man, Faith, My love from another star,Gu Family Book, God’s Gift 14 Days(all this time travel korean dramas), Bridal Mask, Level 7 Civil servant, Prime Minister and I, Emergency Couple, Lie to me, City Hunter, King 2 Hearts, Witch Amusement, 49 days, Sad Sonata, Stairway to heaven, Winter Sonata, Two weeks, Take care of the young lady, Boys Before Flowers, I hear your voice, Doctor Stranger and Triangle.