Improved flashing systems are disclosed for use with metal and non-metal roof systems. A lead flashing apparatus is provided comprising a generally planar lead base defining an aperture, a generally cylindrical structure attached to the base in surrounding relation with the aperture and projecting upward therefrom, and an adhesive sealing membrane attached to the bottom of the base for connecting the flashing to a roof The adhesive sealing membrane is not only effective in securing the flashing to the underlying roof, but further functions as a gasket separating the lead flashing base from a metal roof In a second embodiment, lead flashing having a generally planar base and upwardly projecting stack is adapted with a non-metallic coating. In a third embodiment, a flashing structure is fabricated from plastic, and preferably includes a sloped base with a tapered stack and is suitable for use on virtually any roof system. In any of the various embodiments disclosed herein, the base may be angled relative to the stack such that the flashing structure is suitable for use on pitched roofs. In a fourth embodiment, flashing is formed of a resilient material having a stepped accordion base that allows for the stack to be angularly adjusted relative to the base. In a fifth embodiment, the stepped accordion base is configured in a partial circumferential configuration on the downward portion of a sloped base, which partial circumferential configuration allows for the stack to be angularly adjusted relative to the base. In a sixth embodiment, a flashing system is provided with mating top and bottom flashings, each of which includes a stepped accordion base. In a seventh embodiment, a one-size-fits-all flashing system is disclosed wherein a flashing base is provided with an elongated triangular stack, for installation on a variety of pitched roofs.