This recommendation is from BK - knows Bangkok.
This is their list of Phuket Restaurants and Bars. Out of their selection we have only been to one of them - more to visit...
3) Lim's in Rawai
4) Phuket 346 in Phuket Town
5) Seduction in Patong (Bangla Rd)
7) Yaowarat Rd in Phuket Town - Ploenchit and Sanaeha
This is my list
3) Top of the Reef in Cape Panwa
4) Suay in Phuket Town
5) Zen in Phuket Town (Central Festival)
6) Russell's Sunset Bar in Cape Panwa
7) Siam Indigo in Phuket Town
- there are lots of other places...