Korean: Full House (contract marriage, one of my first dramas, a bit old), Bride of the century (forced marriage, cute), Tamna the island (historical, but quite atypical), Boys over flowers (school drama)
Chinese: Master devil do not kiss me (cohabitation/school drama, depending on your taste, i found it amusing, but not an awesome drama), my amazing boyfriend (forced cohabitation, fantasy)
usually the dramas that have forced marriage/cohabitation usually start off with the two leads bickering and then slowly fall in love with each other...