Carrefour is a major French supermarket brand that has several locations in Shanghai as well as an online shopping platform.
Carrefour provides local and imported products, with some organic selection. They have a wide range of products going well beyond the fresh grocery products. Not everything available in the shops is available online but most of it is.
By experience, the delivery is not always accurate and it happens that they either forget something or deliver outside the scheduled time frame. Actually it happens so often that they call you after the delivery is done to make sure everything is correct. The customer service is very good and if you email them in English they respond very fast.
It is a good shopping option in English with decent prices and a lot of products available.