Here’s some great information from Fake Plastic Fish, Beth Terry’s documentation of her quest to live as plastic-free as possible: a comprehensive list on how to store produce without using plastic. Turns out that moist towels and containers filled with water do wonders. (Something tells us that our great-grandmothers knew this already.) Terry advises airtight containers in many instances, so check her roundup of airtight containers that aren’t made from plastic (but often do contain a silicon ring around the opening).
Related: Avoiding bad plastics