Multilayer laminated shrink films that have good interlayer adhesion comprise at least three layers, a first layer comprising a polymer selected from the group consisting of polyamides, ethylene vinyl alcohol copolymers and mixtures thereof, a second adhesive layer consisting essentially of a blend of a functionalized polymer component, an ethylene copolymer component and a tackifier and a third layer comprising a polymer selected from the group consisting of polyethylene homopolymers, ethylene copolymers, polypropylene homopolymers, propylene copolymers, polyesters, polyamides, polyvinyl chloride, polycarbonates, and mixtures thereof The adhesive layer is positioned between and contacts the first and third layers.