At least certain embodiments of the present invention relate to flooring products, methods of producing flooring products, and polyurethane compositions for use in flooring products, for example, for forming a layer of polyurethane on a textile, fabric or material, such as a flooring fabric. 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 flooring products including the compositions are also disclosed. At least selected embodiments may provide compositions for use in floor coverings 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 floor coverings, uses for such floor coverings, and/or the like. In at least one particular embodiment, a floor covering such as a carpet, carpet tile, area rug, floor mat, roll goods, or the like incorporates a textile or fabric face disposed in contacting overlying relation to at least one polyurethane layer.