Phuket: what to see and where to eat
Everything below comes from open data and each row says where it came from. We have not been to any of these places and we do not rank them.
Things to see

CEphoto, Uwe Aranas / CC BY-SA 4.0
Phuket Giant Buddha
Buddha statue in Phuket province, Thailand
Getting there Bus To Big Buda, about 9 min on foot

Jui Tui Shrine
place of worship in Thailand
Getting there Kata & Karon Beaches bus stop, about 4 min on foot

Jamie Monk from Phuket, Thailand / CC BY-SA 2.0
Holy Trinity Church
Getting there Thalang Public Health Office, about 23 min on foot

Sang Tham Shrine
Chinese temple in Phuket
Getting there Pink bus Route 2 busstop (to bus Terminal 2), about 2 min on foot

Thalang National Museum
museum in Phuket province, Thailand
Getting there Downtown - Sarasin Bridge, about 6.31 km away

Phuket Seashell Museum
Getting there Rawai Beach, about 22 min on foot

Wat Si Sunthon
Buddhist temple in Phuket province, Thailand
Getting there Downtown - Sarasin Bridge, about 4.8 km away
Put Cho shrine
shrine in Phuket province, Thailand
Getting there Kata & Karon Beaches bus stop, about 4 min on foot

Phuket Thai Hua Museum
museum in Phuket, Thailand
Getting there Blue bus to Bang Rong Pier 12:30 and 15:30, about 4 min on foot
Places to eat
No eating place in this city lists its cuisine and opening hours yet.