눈이 높다 --> to be picky, to have high standards for something or people
얼굴이 두껍다 --> thick-skinned, not sensitive (this one is similar to English, I think)
입이 무겁다 --> to be a person of few words, someone who keeps to themselves or keeps secrets well
코가 비뚤어지다 --> to be drunk
코를 빠뜨리다 --> to stop working, to drop/miss a stitch, to ruin something that was almost complete
눈이 빠지다 --> to watch or stare at something for a prolonged time
입에 오르내리다 --> (of something/someone) to be talked about, to be gossiped about
코 묻다 --> a very small amount of something or something that was acquired with difficulty
코(가) 빠지다 --> to be worried sick, to be worried to death (figuratively, of course)
콧대가 세다 --> conceited, stuck-up, arrogant