A process for forming a skinned composite, comprising the steps of A) introducing a polymer or natural leather skin layer and optionally a substrate into a cavity of a mold such that the polymer or natural leather skin is positioned against at least one internal surface of the mold, to produce an unfilled region of the mold cavity having a thickness of at most 25.4 mm adjacent to the polymer or natural leather skin layer. B) introducing a polyurethane foam formulation through one or more injection ports into the unfilled region of the mold cavity; C) before or after step B), closing the mold and D) curing the polyurethane foam formulation in the closed mold such that the polyurethane foam formulation expands, contacts an exposed surface of the polymer or natural leather skin layer and forms a polyurethane foam that fills the unfilled region of the mold cavity and adheres to the polymer or natural leather skin layer and substrate if present, wherein the polyurethane foam formulation comprises: I) isocyanate-reactive materials including a) at least one polyether polyol having a nominal hydroxyl functionality of 2 to 8 and a hydroxyl equivalent weight of 1000 to 3000; b) at least one crosslinker having at least 3 isocyanate-reactive groups per molecule and an equivalent weight per isocyanate-reactive group of up to 125; c) at least one polyester polyol having a hydroxyl equivalent weight of 150 to 1200 and a hydroxyl functionality of 2 to 4, selected from the group consisting of i) hydroxy-functional triglycerides and ii) polyesters of C6-C18 acyclic dicarboxylic acids and one or more short-chain polyols having 2 or more hydroxyl groups per molecule and a molecular weight of up to 150; and d) water; II) at least one urethane catalyst; and III) at least one organic polyisocyanate. A) introducing a polymer or natural leather skin layer and optionally a substrate into a cavity of a mold such that the polymer or natural leather skin is positioned against at least one internal surface of the mold, to produce an unfilled region of the mold cavity having a thickness of at most 25.4 mm adjacent to the polymer or natural leather skin layer. B) introducing a polyurethane foam formulation through one or more injection ports into the unfilled region of the mold cavity; C) before or after step B), closing the mold and D) curing the polyurethane foam formulation in the closed mold such that the polyurethane foam formulation expands, contacts an exposed surface of the polymer or natural leather skin layer and forms a polyurethane foam that fills the unfilled region of the mold cavity and adheres to the polymer or natural leather skin layer and substrate if present, wherein the polyurethane foam formulation comprises: I) isocyanate-reactive materials including a) at least one polyether polyol having a nominal hydroxyl functionality of 2 to 8 and a hydroxyl equivalent weight of 1000 to 3000; b) at least one crosslinker having at least 3 isocyanate-reactive groups per molecule and an equivalent weight per isocyanate-reactive group of up to 125; c) at least one polyester polyol having a hydroxyl equivalent weight of 150 to 1200 and a hydroxyl functionality of 2 to 4, selected from the group consisting of i) hydroxy-functional triglycerides and ii) polyesters of C6-C18 acyclic dicarboxylic acids and one or more short-chain polyols having 2 or more hydroxyl groups per molecule and a molecular weight of up to 150; and d) water; II) at least one urethane catalyst; and III) at least one organic polyisocyanate. I) isocyanate-reactive materials including a) at least one polyether polyol having a nominal hydroxyl functionality of 2 to 8 and a hydroxyl equivalent weight of 1000 to 3000; b) at least one crosslinker having at least 3 isocyanate-reactive groups per molecule and an equivalent weight per isocyanate-reactive group of up to 125; c) at least one polyester polyol having a hydroxyl equivalent weight of 150 to 1200 and a hydroxyl functionality of 2 to 4, selected from the group consisting of i) hydroxy-functional triglycerides and ii) polyesters of C6-C18 acyclic dicarboxylic acids and one or more short-chain polyols having 2 or more hydroxyl groups per molecule and a molecular weight of up to 150; and d) water; a) at least one polyether polyol having a nominal hydroxyl functionality of 2 to 8 and a hydroxyl equivalent weight of 1000 to 3000; b) at least one crosslinker having at least 3 isocyanate-reactive groups per molecule and an equivalent weight per isocyanate-reactive group of up to 125; c) at least one polyester polyol having a hydroxyl equivalent weight of 150 to 1200 and a hydroxyl functionality of 2 to 4, selected from the group consisting of i) hydroxy-functional triglycerides and ii) polyesters of C6-C18 acyclic dicarboxylic acids and one or more short-chain polyols having 2 or more hydroxyl groups per molecule and a molecular weight of up to 150; and i) hydroxy-functional triglycerides and ii) polyesters of C6-C18 acyclic dicarboxylic acids and one or more short-chain polyols having 2 or more hydroxyl groups per molecule and a molecular weight of up to 150; and d) water; II) at least one urethane catalyst; and III) at least one organic polyisocyanate.