Bread box? I haven't seen one of those in decades. Maybe they have changed but they are just to make the kitchen look nice right? They don't actually preserve anything right? If you live in a humid environment that bread is going bad immediately unless you put it in an air tight container. Mold loves water.

I use bag and twist tie or clip all of the way. If I am going to use it fast or freeze it if I am not going to finish it within a few days.