The disclosure relates to containers and other shaped articles (e.g., trays and dishes) for containing articles such as food products (e.g., cuts of meat and poultry or liquid-sensitive electronic parts) in shaped articles such as. In one aspect, the container has a reservoir portion into which liquid can be sequestered. In another aspect, the container includes a thermoformable substrate, a liner, and a lidding material, the lidding and the liner defining a compartment for containing articles. The compartment can be detached from the substrate by detaching the liner from the substrate without necessarily rupturing the compartment. A substantial portion of the containers described herein can be recycled by separating the liner and/or lidding from the substrate. The disclosure also relates to methods of making thermoformed articles having multiple layers that does not rely on use of a coextruded or other composite thermoplastic-containing substrate.