Heat-shrinkable multilayer packaging articles resistant to curling are provided, for example, for bone-in meat products. Preferred packaging articles comprise a heat-shrinkable packaging assembly having an exterior film affixed to one exterior side of a heat-shrinkable food storage bag, where the total free shrink value of the exterior film is greater than the total free shrink value of the film forming the heat-shrinkable food storage bag. Other packaging articles include a laminate bag for bone-in meat products having two puncture-resistant heat shrinkable laminates affixed to opposite sides of a heat-shrinkable multilayer tubular film bag, where one laminate has a higher total free shrink value than the bag or the laminate on the opposite side of the film bag. The laminate bag can further comprise an oxygen barrier layer and a heat sealing region. Methods of making curl-resistant heat-shrinkable packaging articles are also provided.