For online grocery stores, try Smart Direct (www.smartdirect.cn), which pulls together the best of various specialty shops like Da Marco’s Italian, Shanghai Pie Company and Shanghai Organic, and delivers it right to your door. For a quick fix, use their recipe section, which automatically ads items from recipes you choose into your shopping cart. For a local option, check out City Shop (www.cityshop.com.cn), where you can order home-grown produce as well as a wide variety of imported goods. Feidan is your place for international foods, newspapers, and magazines (http://www.feidan.cn). And don’t forget about the French hypermarket Carrefour (http://e-shop.carrefour.com.cn/), which offers everything from groceries to home appliances and sporting goods.

Mealbay is no longer in service, Sherpas is ok. I use meituan, is in chinese, but the delivery fee is just about 5 rmb..

there's probably a walmart or darunfa around where you live. They both have apps and can deliver to your door.