Local Supermarkets

Villa Market

https://shop.villamarket.com/

Good source for international produce. They also deliver. Upmarket supermarket.

Lotus

https://www.lotuss.com/en

For all your regular produce. Install the app, and they will deliver for free. Great for ordering things like water, chicken, and basic ingredients

Tops

https://www.tops.co.th/en

There is one in Central. They also deliver.