The thermoplastic polyurethane (TPU) compositions described herein have a very good snap back properties (also called rebound resilience) while still maintaining a good combination of other properties, including hardness, low-temperature flexibility, abrasion resistance, weather-ability, low density, or any combination thereof. This combination of properties make the TPU compositions described herein useful materials for applications where polyamide copolymers (COPA) and/or polyether block amide (PEBA) materials have traditionally been used over TPU.