A collapsible container consists of three parts: a rigid top rim, a flexible center band, and a rigid base. This combination of sections allows the container to easily collapse to about one-third of its original height. The container is also quite stable when expanded and is self-supporting. In various embodiments of the invention, for example, the upper rim may be expandable, the base may include holes or mesh to serve as a colander or strainer, or the base may be configured as a tube to function as a funnel.