So it sounds like what you're really asking for is dramas with (1) rich+possessive ML and (2) nobody tries to split the couple up or likes the ML. And I gotta say, you have me stumped :/ I can't think of a single drama with both these features, though many of the recommendations listed my others above come close.
As for a recommendation similar to CITT, I would second Moon Lovers. It's hard to find a character like Yoo Jung, but Wang So comes pretty close. Both aren't the glorified bad boy leads littered throughout dramas. Plus, they give me similar vibes with the scheming and false facades.