Both dramas have unique plots that are written by the same writer and have a melodramatic feel to it along with the part where the main leads are cold to each other at first, but warm up to each other as they spend more time together. Another Miss Oh is just a little bit more lighter and funnier. Both of them also have side plots

Unique setup in both of these dramas where there isnt really a primary "main character". The characters in both of these dramas end up having backstories of their own in a slice of life setting. The only difference would be that Prison Playbook kinda has more of a main character, but hes in the background of a LOT (tens and tens) of other people, which he will soon find out their stories as well

Same Rom-Com aspect to both of them. The plot is somewhat similar in both of them. They both fake a marriage so the male lead can protect his house which he values a lot. The female leads are loosely similar in the way that they think of marriage the opposite way that the male leads do.