Memories of Murder (2003)
One of the suspects tells a cop that he watched Body Heat the other night. It is repeated several times as the cop writes it down using a typewriter.
Scene where one detective (in focus) asks "Have you ever seen anything like this?" and the focus changes to the second detective who answers "Never" is an homage shot.
Movie poster is clearly seen in the background in one scene.
Video case is shown.
The forest scene.
The scenes where the serial killer requests a song on radio evry time before the murder is extracted from the movie Memories of Murder