When you step onto the island in Top Star, it's really like a blast from the past. That combined with the humor and the loving and close community relationships (and also love triangle -- meh) are similar to Reply 1988.
Both shows have a really gritty, unfiltered depiction of people in poverty, downtrodden by their circumstances and random events that happen in the course of their lives. They also both show the reality of people trying to handle trauma and difficult things that happen in their lives. But both also have genuine moments of connection and commonality with others.
The first 9 episodes of The Light In Your Eyes are very similar in tone to My Mister. There's a certain destitution and downtrodenness, but at the same time, the show has moments of levity and emphasizes genuine human connections and relationships. The characters in both shows feel real, but they also both feel quite suffocated.
Both shed light on common issues and expectations women encounter in the course of work that men rarely have to deal with.