A polymer sheet includes a polyurethane core. The polyurethane core has a first major surface and a second major surface opposite the first major surface. The polymer sheet can have at least one functional layer overlying a major surface. The polymer sheet has a thickness tPS. The polyurethane core has a thickness tPC. In embodiments tPC can be at least 0.3 tPS. The polyurethane core can have at least one of the following property: (i) a Scratch Resistance Rating, as further described herein, of not greater than about 10 wt %, (ii) an elongation at break of at least 200%, (iii) a tensile strength at break of at least 0.3 MPa, (iv) a loss of tensile strength of not greater than about 30% when exposed to UV light according to standard SAE J1960 (Rev. August 2003). The polymer sheet can be used for gaskets or bonding tapes.