I guess you can try these dramas :
Overprotected Kahoko ( Jdrama) - Cute and funny, Ml is not cold but not bad, also FL fall in love with him first.
Takane to Hana ( Jdrama) - lol the ml is seriously pretty. But he is cold and bit self-centered too. Again, FL fall in love with him first
Kinkyori Renai ( Jmovie) - Well both ml and FL is a bit cold.
Koi Tsuzu ( jdrama) - My personal favorite - Fl falls in love with him and follows him everywhere. Ml got cold and bit of scary personality but when he falls in love with her, DAMN.