Grocery delivery is getting quite popular in parts of Europe now, usually run by the grocery stores themselves (Tesco etc). They're popular with families, where making an outing to buy a week of groceries with two kids in tow after you get off work late in the afternoon can be a real ordeal. Made worse by the fact that fewer people own and drive cars here so you're lugging the groceries on a bus or by foot.

In the US it might not be as big a market due to a different lifestyle.