A customer just asked me how much a shared minibus transfer costs from Phuket airport to Karon beach so while I was at the airport this week I took a photo of the prices board. It's a little difficult to read but the second column in from the right is the price of minibus transfers.
Phuket Town = 100 baht
Patong Beach = 150 baht
Kata, Karon Beach = 180 baht
For other areas you'll need to get a taxi. You can either get one from the limousine counter, or from one of the touts (be ready to haggle). Or walk out of the airport building, turn right and walk to the end where the meter taxi rank is. Meter taxis have to charge 100 baht on top of the metre charge to pick up at the airport so the price is not much different from the fixed price cabs. If you want a private car and driver to be waiting for you when you arrive to take you directly to your resort we can provide it.