The Silenced offers a creepy atmosphere and a wonderful and impactful story. It has a very effective OST that builds the tension and realizations in the story. Parasite also deeply includes these elements. They are both psychological thrillers that have exciting storylines that are very unexpected. I think if you started with either of these movies, the other one will offer a satisfying secondary watch as they very much complement each other.
Same director and writer with Park So Dam appearing in both films. Both are set during the Japanese colonialism in Korea and have strong female characters. The Silenced is set in a boarding school while Phantom is set in an isolated hotel. The Phantom is an action thriller espionage film while The Silenced is a horror mystery film. LGBT-coded characters in both films. Both show violence towards Koreans and the horrors of Japanese colonialism during the Japanese colonial period in Korea.