Cortina is for those more interested in the view and scenery, probably ideal for a romantic skiing holiday. The scenery is breathtaking, and the town has good offer of restaurants, shopping, etc.
While the skiing options and conditions are very good, with lots of pistes for all levels, and access to the Dolomiti area (which is very vast), the mountains are not as well connected as they could be. This means the runs are not as long and varied as in probably Alta Badia (which is a few km away from it). The upside of this is that it tends to get less busy than its more 'skiing focused' neighbours (Alta Badia, etc). All in all, a very good all rounder and a good option if you are not an all-about-the-powder.