Yes, I understand why you loved Boss & Me so much! I like heavier stuff too, but I enjoyed watching a drama that focused so much on the love between the main couple, and not all the reasons that drive them apart... Thing is, so far, I never have found another drama like it! I'll try to recommend a few dramas though...
First of all, I haven't watched it, but there's a chinese drama, that is airing right now or just finished airing, called My Sunshine. It's written by the same author as Boss & Me, although there seems to be more angst and bitterness in this one (they used to be lovers in University but separated) -- but again, I haven't seen it.
There's a taiwanese drama called ToGetHer (2009, barely makes it!) that I found sweet. It's about a celebrity (Jun Nan, whose stage name is "Mars") that is forced to retire temporarily and return studying because of some scandals. He's very full of himself and still popular amongst the girls in his class though. However, since he doesn't have much of an income anymore, he's forced to rent a room from Chen Momo (a classmate), and her older sister, who are also in need of some money. Momo is extremely shy, lives in the world of her favorite manga Prince Kasaba, and apart from one friend who is mentally challenged (yeah, love triangle... but it's not too bad), is constantly forgotten by everyone. However they go through a lot together, and Jun Nan, who is at his most vulnerable, starts falling in love with her. What I liked about their romance is that they really support each other, and that even though Jun Nan/Mars is so different (extraverted, loud...) he really changes when he's with Momo, he's incredibly thoughtful, soft, gentle, caring, helpful... He's so in love, like Feng Teng :p There isn't as much skinship as in Boss & Me though, but nothing less than any other regular drama.
Protect The Boss is a korean drama in which the male lead falls very, very in love (quite soon, even though he hates her in the first 2 or 3 episodes I think) with his loud, annoying secretary :p If you try this one, you have to give it a 3 episode chance though, because a lot of people (myself included) dropped it too soon, often because they found the female lead annoying. She quickly becomes a very relatable and likeable character though. What's nice in this one is that the characters are rather direct, and the male lead doesn't waste 10 episodes denying his feelings, so there's a lot of time for sweetness ;)
I Need Romance 3 is another korean drama. The male lead knew the female lead as a child (she was perhaps 7-8 years older, I can't exactly remember) since she took care of him, until he suddenly moved to the US. Ever since though, he's loved her. Adult, he has grown handsome and become a successful musician, and when he comes back to Korea he finds out the bright girl he knew has become a cynical, hardened woman. And yet, his love for her transforms, and all along the drama he tries to woo her. In this drama there is quite a present love triangle, but the male lead is extremely honest and explicit about his feelings, so he says and does the sweetest things for her (in that way it's fluffy).
Master's Sun is a korean drama in which the male lead is a prickly chaebol. She is a rather poor woman that has the misfortune of seeing ghosts who also have the possibility of taking over her body, she lives her life constantly alert and everybody thinks she's crazy. But one day she meets the male lead (who is initially very annoyed by her presence), and discovers that when she touches him, the ghosts disappear (quite an excuse for skinship!!!). Although there's a little "horror" in this drama, it's barely scary at all and actually is quite funny, its main focus is the romance.
What is Love is another taiwanese drama, that I dropped because I disliked the female lead (that's personal, though, many loved it). In this drama, the filthy rich playboy falls for a woman (not poor though, upper middle class) he tried to play with, who is obsessed with things such as "true love" and marriage etc etc etc. There's quite a love triangle, but the guy is really helplessly in love and tries to convince her of his sincerity for the most part of the drama.
Then there are these two classic taiwanese dramas: MARS and Devil Beside You (they're both a little old though). I'm not a fan of either because I find the quality poor, but they both have a lot of fans. In both the male character is popular and quite the "bad boy", but both fall for "good girls" (in MARS, she is extremely shy and introverted, while in Devil Beside You she is much more normal, but both are supposed to have "good hearts"). I remember quite a lot of skinship in Devil Beside You, but can't recall clearly for MARS, even though I can recall the hero being sweet and protective towards the female lead in that one. Also, I don't think either have very important love triangles.
Hope this helps! Good luck in finding the right drama