I think I wrote something similar to this before, but here's an update!
G Dragon - Nililia
The opening of this song is actually based off of a traditional Korean folk song!
Topp Dogg - Arario
Self explanatory! This is filled with traditional Korean references from the MV, the lyrics, and even just the music!
Infinite - The Chaser
The opening of Infinite's song The Chaser, as well as much of the back track is actually using traditional Korean instruments!
Hyuna - Red
In the chorus, Hyuna says:
원숭이 엉덩이는 빨개
(A monkey’s butt is red)
What the heck does that mean!?
Well, in Korea, there is a popular children's song from the 1930s where they sing about one thing and connects it to another that is related to it.
"A monkey's butt is red. If it is red, then it is an apple. An apple is tasty. If it is tasty, then it is a banana. A banana is long. If it is long, then it is an train. A train is fast. If it is fast, then it is an airplane. An airplane is high. If it is high, then it is Baekdusan (the famous Korean mountain.)" (a video of a kid singing it is above~)
Like Hyuna says in interviews, she wants to be related to the word Red, so the chant is referenced in the song Red.
"A monkey's butt is red. If it is red, then it is HyunA..."