I've read that banana boxes are likely to have significant pesticide residues and are to be avoided.

I have a couple of "green bags" that my local co-op gave away to members. What I mostly use are several nylon string bags (look a bit like fishing net) that I picked up some time or other, somewhere, some time ago. I do ask that meats be placed in plastic bags at the meat department to ensure they don't leak blood onto my reusable bags, or I will snag a plastic bag from the produce department, and put pre-packaged meat into one of those to protect against leakage. I am trying to get into the habit of bringing a small cooler with me to put meat into so that I don't have to use additional plastic packaging, but I often forget. I'm not a vegetarian, but don't eat or buy much meat, so it is hard to remember.