A bandage strip in combination with a spool, the bandage strip including: a plurality of adhesive bandage packages, each said package including a first sheet and a second sheet adhered to each other at mutually facing peripheral portions to provide a sealed enclosure containing at least one adhesive bandage, said adhesive bandage comprising a bandage substrate with an adhesive side for adhering to a patient and holding said bandage in place on the patient's skin and a release layer (26a, 26b) covering said adhesive side of said bandage substrate, wherein said release layer (26a, 26b) is adhered only to said adhesive side of said bandage substrate to permit separation of said first and second sheets (28, 30) and removal of said bandage from said enclosure with said entire release layer (26a, 26b) remaining in place on said bandage substrate; an elongated substrate substantially covered on a top side by an adhesive, at least one row of said packages being arranged on said elongated substrate with one of said first sheet and said second sheet (28, 30) adhered to said top side of said elongated substrate lengthwise with said packages disposed in facing relation to form an elongated bandage strip, wherein said packages have a space therebetween and are narrower than said elongated substrate to provide an adhesive-covered periphery surrounding each said package, and wherein the one sheet (e.g. 28) adhered to said elongated substrate remains adhered to said elongated substrate when the other sheet (e.g. 30) is separated from said one sheet; and a release liner adhered to said top side of said elongated substrate around said adhesive-covered periphery to cover said packages and adhere to said elongated substrate around said periphery including said space between said packages, said elongated substrate and said release liner having perforations therein across their width in said space, wherein said bandage strip is wound lengthwise around said spool with said packages arranged in end-to-end relation circumferentially, said release liner on said top side of said elongated substrate preventing contact with said adhesive by a bottom side of a portion of said elongated substrate on said spool to permit said bandage strip to be unwound from said spool, and unwound bandage strip portions are separable at said perforations from portions remaining wound around said spool. a plurality of adhesive bandage packages, each said package including a first sheet and a second sheet adhered to each other at mutually facing peripheral portions to provide a sealed enclosure containing at least one adhesive bandage, said adhesive bandage comprising a bandage substrate with an adhesive side for adhering to a patient and holding said bandage in place on the patient's skin and a release layer (26a, 26b) covering said adhesive side of said bandage substrate, wherein said release layer (26a, 26b) is adhered only to said adhesive side of said bandage substrate to permit separation of said first and second sheets (28, 30) and removal of said bandage from said enclosure with said entire release layer (26a, 26b) remaining in place on said bandage substrate; an elongated substrate substantially covered on a top side by an adhesive, at least one row of said packages being arranged on said elongated substrate with one of said first sheet and said second sheet (28, 30) adhered to said top side of said elongated substrate lengthwise with said packages disposed in facing relation to form an elongated bandage strip, wherein said packages have a space therebetween and are narrower than said elongated substrate to provide an adhesive-covered periphery surrounding each said package, and wherein the one sheet (e.g. 28) adhered to said elongated substrate remains adhered to said elongated substrate when the other sheet (e.g. 30) is separated from said one sheet; and a release liner adhered to said top side of said elongated substrate around said adhesive-covered periphery to cover said packages and adhere to said elongated substrate around said periphery including said space between said packages, said elongated substrate and said release liner having perforations therein across their width in said space, wherein said bandage strip is wound lengthwise around said spool with said packages arranged in end-to-end relation circumferentially, said release liner on said top side of said elongated substrate preventing contact with said adhesive by a bottom side of a portion of said elongated substrate on said spool to permit said bandage strip to be unwound from said spool, and unwound bandage strip portions are separable at said perforations from portions remaining wound around said spool.