In Don't Disturb My Study, FL shifted classes from existing class to a new class after a long time while ML does the same in The Big Boss S2. In DDMY, the group of friends cheer FL all along, while the same happens with ML in TBB S2. In both dramas, the leads build a strong friendship and bonded closely with their existing class very much.
After watching The Big Boss ... it's a no brainer that you continue their story onto season 2! Season 2 takes off right where season 1 left off.
These two dramas are similar in that they share the same concept of school and growing up. Although, The Big Boss is purely a comedy, it does have an underlying concept of a male and female lead eventually liking each other. The difference lays in the fact that A Love So Beautiful is majorly about romance, and how the leads fall in love. Both dramas have very unique and silly female leads, as well as smart and handsome male leads. The group of friends in both dramas are amazing and funny; and there is not much rivalry over the male lead in, unlike most romance dramas, although in A Love So Beautiful there is a little rivalry/jealousy when it comes to the female lead.