Hit The Top
The romance is quite sweet and the main couple is not annoying. Also, it envolves not only romance but family and friendship. May be a little lenghty compared to other korean dramas but is pretty good.
Shopping King Louis
How annoying the characters are it's up to you, but they're kinda refreshing from the usual cold emotionless guy and candy girl. Romance is also quite sweet and they don't have many misunderstandings.
Sassy Go Go
Another one that's quite impressive. Short and sweet as well, it also focuses in friendship aside from the romance. The love triangle is quite amusing and well done.
Please Come Back Mister
Not exactly a romance, but it's romantic aspects are more original than most. Also, great chemistry between non-couples.
These are some that, in my opinion, aren't annoying. Maybe there are others, but saddly I didn't find any more on my watchlist