Milk in glass bottles. Meat is wrapped in paper. Eggs go in a a paper carton. Cheese is tricky, most markets still wrap cut cheese in plastic, so I have to buy it from an actual cheese shop that uses waxed paper. Consequently I don’t eat much cheese.
You can just buy whole head of cheese and it's not only can be stored in fridge for months without getting bad, but also almost always matured in wax to begin with. Of course not all cheeses sold this way, but certainly most are never packed with plastic until product get to the end of supply chain at grocery store.
It's alao cheaper to buy this way and quality of product on your table going to be much higher.