Anybody know of a good grosseri store in or around Bangtao beach?
Somebody told me it is one 10 minutes away be car, but I dont know where to tell the taxi to go?

I assume you mean 'grocery' store. There is huge big new Lotus Tesco store in Thalang, about 10 minutes away. Just tell the taxi driver Lotus. He will know. But be aware with all the flooding in Bangkok the Phuket stores have run out of many items.