Possessive n won't let go

Two recommendations off the top of my head:

Lady & Liar (2015)- Basically the same story as Cruel Romance (EXTREMELY similar so if you liked Cruel Romance you should like this one too)

Summer's Desire (2010)- It's pretty much what you asked for. Ou Chen is the epitome of possessive but I wouldn't say he is "cold" per se... might sometimes come off as that way though. 

I'm sure there are more that I've watched but can't bring them to mind atm. I'll update you if I remember more titles.

Possessive, but not necessarily  cold:

Boss & Me - Zhang Han and Zhao Li Ying

The King's Woman - Dilraba Dilmurat and Zhang Bin Bin

The Negotiator - Yang Mi and Huang Zi Tao

Chronicle of Life - Harwick Lau and Zheng Shuang