Some of these styles are difficult to describe, so if my description doesn’t make sense, google image search should make it clear.
이대팔, a man’s haircut which is parted to the side (the ratio is 2:8)
오대오, a man’s haircut which is parted in the middle (the ratio is 5:5)
댄디컷, a man’s haircut which is long with bangs
투블록, a man’s haircut which is shaved underneath and longer on top
반삭머리, hair that is very short (but longer than a buzz cut)
만두머리, two buns on side of head
양갈래머리/삐삐머리/트윈테일, pigtails
옆가르마, side part (가르마 means part)
디스코머리, french braided hair
히메컷, hair with choppy side layers
벼머리, a small braid which is braided into the rest of the hair
사과머리, one small lock of hair tied up on the top of the head (to look like the stem of an apple)
반머리, half of the hair tied up at the back of the head
아줌마파마, the classic curly perm that Korean ajummas often have
쉼표머리, bangs that curl to the side (like a comma)
여신앞머리, long bangs parted to each side down the middle
시스루 뱅 앞머리, thin see-through bangs
깻잎머리, side bangs which are pinned to the side of the head (to create a shape that looks like a leaf)