Many Korean names sound very "modern", and are designed to sound chic and slick. Names like 서연 [seoyeon] come to mind for giving off such a vibe. These names, for the most part, give off the opposite vibe (at least, to me they do): that is, a more bookish feeling
연우 [yeonwu] - yeon, purple and rain
새솔 [saesol] - sol isn't cute, just reminds of trees
은결 [eungyeol] - maybe this brakes but eh
서인 [seoin] - old sunlight vibe, and also historical if taking into acct the other side
소담 [sodam] - very literary feeling
한울 [hanul] - blue sky black wind, chill student
진이 [jini] - jean from genshin impact
지예 [jiye] - like jihye vibe but more carefree
푸름 [pureum] - wood like hickory