Soul (2009)

Both are short dramas with supernatural themes. And if you are a Lee Seo Jin fan, he plays a main character in both.

Both of them were affected by a tragedy in the past that they felt wasn't properly justified, which is what drove them to take matters into their own hands.
They give off the impression that "if you want justice, you have to acquire it yourself."

They are both jump worthy. I tried to watch Soul at night and half way through the first episode, I had to turn it off and try again during the day. I learned my lesson and watched Coma during the day, lol. If you like to be scared and enjoy a good horror show then check out Coma!

[Spoiler] The fifth episode of this drama and drama Soul/Hon have the same theme, about fabricate a mysterious fire at the orphanage, and the souls of children at that orphanage need someone to help them to take their revenge.

both deal with supernatural creatures and the soul gives the same feeling as the vampire prosecutor

Yamihara Kokoro and Asada Toramatsu live in a town that is quite peaceful, until a serial murder case happened where the bodies all had their blood drained out. Five years have passed but the case remains unsolved. Meanwhile, Kokoro and Toramatsu have been in a relationship for a year, but are unable to get married as they are keeping a serious secret from each other. Kokoro is actually a vampire. However, she does not attack humans and live modestly. Toramatsu is a popular resident in the town and is trusted by many. After getting a divorce, Toramatsu got drunk and went back to his old house, where he met Kokoro, the current occupant. As the two continue to keep their secrets hidden, a horrific murder occurs once again in the town.