Ok, here it goes :)

You should visit Es Trenc (the most beautiful long, sandy beach in Mallorca), Sa Calobra (to me, the most beautiful 'cala' in Mallorca), Port de Soller (beautiful town on the west shore, don't miss to take the train to Soller, then a bus), Palma, of course, Portals Nous (beautiful small beach with a small island in front of it, and a very fancy sail port), the Drac Caves (wow). I lived there for a year, so I know :D