Korean dramas make a big deal out of the casual intimacy that's normal between couples. Kissing always has to be this big, orchestrated event; it's rarely ever spontaneous, casual and easy as with normal, real life couples.
What I mean by spontaneous, casual and easy is when the couple take every (or most) opportunity to be intimate in some way -- french kiss, kiss on the forehead, sitting very close to each other & sharing an intimate touch, cuddle, cuddle & kiss, generally touchy feely with one another, make love and so on. Without such interactions seeming planned or orchestrated ... they just happen, you know what I mean ... because that's what people in love do. They are drunk on one another & can't stop touching and kissing each other in some form or another.
The only drama that I have seen that comes slightly close to this description is It's Okay, That's Love. And maybe It Started With A Kiss & They Kiss Again. There is more skinship in They Kiss Again since the characters are married here.
Other shows with decent skinship & sexual tension, but without those easy, casual and spontaneous cuddly moments as mentioned above:
Can We Get Married? / Can We Love?
The World That They Live In - by same screenwriter as It's Okay, That's Love
MARS
Another Oh Hæ Young
Cuo Dian Yuan Yang - female lead from Boss & Me is also the female lead in this drama & the male lead is super hot. They have even better chemistry than the Boss & Me pairing, though Boss & Me is a better drama overall.
As well as the other shows mentioned on this thread.
Explosive Passion
Too Late To Say I Love You - rather than cuddly and cute like in Boss & Me, I loved that the sexual tension was so scorching hot between this couple, even when they're just doing something as mundane as having dinner! Just them looking at each other from across the room can cause a fire! Their chemistry was THAT explosive! They were in lust & in love and every time they got together they were either kissing, touching or making love. Their relationship felt very real, there was no awkwardness ... I was really surprised that I was watching an Asian drama where they barely make the characters kiss! Really wanted to be the actress so I could make love with Wallace Chung! He was sooo badass and hot here and that man can create good chemistry with a log!
Bang Ja Chronicles - 4 part mini-series. Lots of love making & beautiful love story. Even though they don't gloss over the sex, I think you'll like it because the romance is sweet and will move your heart. At least that's how it affected me!
I loved the sexual tension and build up in Lovers! But except for one major scene in one of the later episodes there's isn't much skinship, but I loved watching the raw chemistry and longing roar between the leads.