A vacuum insulated structure includes a multi-layer sheet of material comprising at least one layer of barrier material that is disposed between first and second outer layers. The barrier material and the first and second outer layers comprise thermoplastic polymers or elastomeric or hybrid material systems. The multi-layer sheet of material is thermoformed or vacuum formed to form a non-planar first component having a central portion and four sidewalls extending transversely from the central portion. A second component having a central portion and four sidewalls extending transversely from the central portion is secured to the first component to form an interior space therebetween. Porous filler material is positioned in the interior space, and a vacuum is formed in the interior space by removing gasses and moisture (water vapor). The first and second components are sealed together to form a vacuum insulated structure.