Polymer structures (1) having a laminated surface and enhanced physical properties that can be used for packaging, athletic gear (e.g. padding, water sport equipment), gaskets, and protective garments are decribed. The structures (1) include a core (4) of relatively high density material and one or more layers (6) laminated to the surfaces of the core material of relatively low density polymer foam. The structures (1) can be stiff or flexible. The foam layers improve the softness of the surfaces of the core material.