The disclosure relates to containers and other shaped articles that have a relatively thick substrate layer and one or more relatively thin liner sheets peelably adhered thereto. Animal litter can be placed atop the liner sheets, preferably in a concave portion to contain the litter. The liner sheets have perforations extending therethrough that permit the passage of non-soiled litter, but do not permit the passage of at least one of animal feces and soiled animal litter, such as clumps of litter and urine. After an animal has deposited waste on or in the litter, the liner sheet can be peeled from the container and waste unable to pass through the perforations can be collected.
