Prime Minister and I (2013)

both are contract marriages
HOWEVER, this marriage is based on finding a new mother for his daughter before...
also shows the relationship between his daughter and new wife develops overtime

In both the leads pretend to be a couple. Although in PM&I, they pretend to be married while in MND they pretend they're engaged.

They give me the same vibes, where there’s a single dad and women who comes into their lives and changes the way they act/feel