Collapsible containers and a method of their manufacture are disclosed herein. The collapsible containers have one or more collapsible wall sections and a stiff upper and lower tier. The wall sectionshave living hinges and three or more tiers between the hinges. A thermoplastic elastomer layer may join separately made portions of the container together. The containers may be made by molding and overmolding. The containers include inter alia bulk liquid containers, jugs, tubs, baskets, bottles, and food containers. The method of manufacturing includes placing a container component and a matching container body comprising a stiff first tier, a stiff second tier, and a collapsible wall section in a mold; assembling the container body with the container component to close one end of the container body; and overmolding a thermoplastic layer around the container body and the container component.