A security bag comprising: an exterior bag having an inside chamber and including at least one opening (21, 27) for access to the inside chamber of the exterior bag; and a security panel assembly (400, 448) extending along the inside chamber, the security panel assembly (400, 448) comprising: a first flexible material layer, the first flexible material layer having a first pair of parallel edges (412, 414) and a second pair of parallel edges (416, 418); a second flexible material layer connected to the first flexible material layer; at least one wire comprising a cut-resistant yarn material and arranged entirely on a first side of the first flexible material layer and connected entirely between the first and second flexible material layers (406, 408) so as to be secured against shifting relative thereto, wherein: the at least one wire arranged as a matrix of crossed wire portions; the at least one wire having first and second opposite ends (432, 434) which are arranged entirely on the first side of the first flexible material layer and which are arranged to extend toward the center of the first flexible material layer to not project beyond and to be spaced apart from any of the edges (412, 414, 416, 418); the at least one wire further comprising a plurality of bent or curved portions adjacent each of the edges (412, 414, 416, 418); wherein the bent or curved portions of the at least one wire along any edge are arranged closer to that edge (412, 414, 416, 418) than the first and second opposite ends (432, 434); and stitching securing the at least one wire in place between the first and second flexible material layers (406, 408). an exterior bag having an inside chamber and including at least one opening (21, 27) for access to the inside chamber of the exterior bag; and a security panel assembly (400, 448) extending along the inside chamber, the security panel assembly (400, 448) comprising: a first flexible material layer, the first flexible material layer having a first pair of parallel edges (412, 414) and a second pair of parallel edges (416, 418); a second flexible material layer connected to the first flexible material layer; at least one wire comprising a cut-resistant yarn material and arranged entirely on a first side of the first flexible material layer and connected entirely between the first and second flexible material layers (406, 408) so as to be secured against shifting relative thereto, wherein: the at least one wire arranged as a matrix of crossed wire portions; the at least one wire having first and second opposite ends (432, 434) which are arranged entirely on the first side of the first flexible material layer and which are arranged to extend toward the center of the first flexible material layer to not project beyond and to be spaced apart from any of the edges (412, 414, 416, 418); the at least one wire further comprising a plurality of bent or curved portions adjacent each of the edges (412, 414, 416, 418); wherein the bent or curved portions of the at least one wire along any edge are arranged closer to that edge (412, 414, 416, 418) than the first and second opposite ends (432, 434); and stitching securing the at least one wire in place between the first and second flexible material layers (406, 408). a first flexible material layer, the first flexible material layer having a first pair of parallel edges (412, 414) and a second pair of parallel edges (416, 418); a second flexible material layer connected to the first flexible material layer; at least one wire comprising a cut-resistant yarn material and arranged entirely on a first side of the first flexible material layer and connected entirely between the first and second flexible material layers (406, 408) so as to be secured against shifting relative thereto, wherein: the at least one wire arranged as a matrix of crossed wire portions; the at least one wire having first and second opposite ends (432, 434) which are arranged entirely on the first side of the first flexible material layer and which are arranged to extend toward the center of the first flexible material layer to not project beyond and to be spaced apart from any of the edges (412, 414, 416, 418); the at least one wire further comprising a plurality of bent or curved portions adjacent each of the edges (412, 414, 416, 418); wherein the bent or curved portions of the at least one wire along any edge are arranged closer to that edge (412, 414, 416, 418) than the first and second opposite ends (432, 434); and stitching securing the at least one wire in place between the first and second flexible material layers (406, 408). the at least one wire arranged as a matrix of crossed wire portions; the at least one wire having first and second opposite ends (432, 434) which are arranged entirely on the first side of the first flexible material layer and which are arranged to extend toward the center of the first flexible material layer to not project beyond and to be spaced apart from any of the edges (412, 414, 416, 418); the at least one wire further comprising a plurality of bent or curved portions adjacent each of the edges (412, 414, 416, 418); wherein the bent or curved portions of the at least one wire along any edge are arranged closer to that edge (412, 414, 416, 418) than the first and second opposite ends (432, 434); and stitching securing the at least one wire in place between the first and second flexible material layers (406, 408).