The wife likes to use an insulated blue grocery bag, which is fine with me, as it allowed us to make a second stop on the way home if we have a perishable. Sometimes I put an ice brick inside it. Most consumers want plastic bags. We all can recall when they asked "paper or plastic" every time you went to the store. Before that paper was bad.
I suspect we individually put a much larger load on the planet than our use of plastic bags.