We prefer cardboard over plastic, and all our boxes/paper is recycled and non-polluting. We are obliged to protect our items a minimum if you don't want to end up with a lot of broken or shattered products because the carriers are unfortunately not always very delicate.
You can give them a second life (house for cats, children's huts, cardboard trash, storage box etc.).
Now we have compartments for fragile items so even less "waste" and packaging. We are also trying to make our cardboard boxes "compostable" but for the moment we have not yet succeeded at 100%!