The present invention relates to absorbent articles having a topsheet, a backsheet, and an absorbent core between the topsheet and the backsheet. The backsheet comprises a moisture vapor permeable, substantially liquid impermeable composite sheet material includes a powder-bonded nonwoven web adhered to a moisture vapor permeable thermoplastic film. The nonwoven web includes a first layer comprised primarily of fibers that are compatible with an adhesive used to bond the web, and a second layer comprised of a blend of fibers, some of which are compatible with, and some of which are incompatible with the bonding adhesive and the thermoplastic film. A method for making the composite sheet material and an item of apparel made from the sheet material are also provided.