At least certain embodiments of the present invention relate to polyurethane backed non-flooring products, methods of making non-flooring products, and polyurethane compositions for forming a layer of polyurethane on a non-flooring textile, fabric or material. The compositions comprise the reaction product of castor oil having a water content of less than or equal to about 0.2% by weight; a monol, and an isocyanate, wherein the reactants have a soft segment functionality of about 2.0 to about 2.64. Methods of using the compositions and products including the compositions are also disclosed. At least selected embodiments may provide compositions for use in non-flooring surface coverings such as wall coverings, furniture coverings, clothing, tenting, or the like having a show surface such as a textile or fabric face material in contacting overlying relation to a polyurethane backing with or without additional structures, layers, backings, and/or the like, as well as apparatus, processes, and/or methods for making such non-flooring surface coverings, uses for such non-flooring surface coverings, and/or the like.