Improved collapsible bins (10) are provided for storing goods, such as solids, semi -solids, or fluids. In various embodiments, the bins have a base (18) about the same size as a pallet to facilitate handling and storage. Bins include a plurality of sidewalls (14) (typically four), a cover (30), and a base. The base includes a floor-mounted sump (46) for discharging the contents of the bin. The bin sidewalls and cover hingably connect to the base, and the sidewalls and cover can collapse and nest inside the base to reduce the storage space consumed by empty bins. Further provided are storage systems which include a collapsible bin and a bag liner (200) disposed in the bin.