Disclosed or provided are high melt temperature microporous Lithium-ion rechargeable battery separators, shutdown high melt temperature battery separators, battery separators, membranes, composites, and the like that preferably prevent contact between the anode and cathode when the battery is maintained at elevated temperatures for a period of time, methods of making, testing and/or using such separators, membranes, composites, and the like, and/or batteries, Lithium-ion rechargeable batteries, and the like including one or more such separators, membranes, composites, and the like.