Islands near Phuket?

I’m looking for some nice islands near Phuket (Thailand) with white sandy beaches, coral reefs and crystal water. Do you have any idea what islands are the most popular and the most out-going? I would really appreciate any kind of help, since I’m planning my holiday for a days now and haven’t got across any results I want yet.

Islands near Phuket are: 1. Phi Phi Don – the largest one, with snorkeling areas, main beach is Tonsai Bay, but no roads, so you need to walk in order to get to the beaches; 2. Coral Island – located 9km south east of Phuket, known as Koh Hae, the most popular destination to have a vacation; 3. Ko Lanta – new destination, away from tourists, with coral rimmed beaches, snorkelling, trekking, jungle walks, scuba diving, elephant, horse riding or kayaking.