There's no angry mom in Gokusen but there is some organized crime involved but more like Han Gong Ju-style, there is a righteous teacher, a stupid vice principal and unruly students, but also some rather preachy dialogues/monologues. Regardless, both are a fun watch with darker themes (Angry Mom is upfront with it, if not a bit gory at times while Gokusen is more careful, mostly if you care to think hard and long enough since Gokusen's premise relies more on comedy) as the students mature and grow through their actions.
Both are pretty dark themed dramas about school bullying. In both dramas the main lead tries to change something with her positive attitude. While LIFE handles the bullying between students Angry Mom takes it even further. Both also have some comedic elements to relieve the dark theme of the dramas. Totally recommend both dramas !
Both dramas are similar as they highlight the difference an adult's influence can make in a child's behaviour and upbringing, although the nature of relationships shown in the two are different. Both feature strong female characters who will do anything for their respective children, and kind caring teachers who work with the main characters to get to the bottom of the mystery.
