A dispensing apparatus for serially dispensing plastic bags from a wound roll of continuous flexible plastic bags joined along perforated severance lines. A container is provided which is adapted to receive the wound roll of plastic bags. The container has a bottom, a pair of opposed sides having an inwardly facing flange extending therefrom, and a separating tongue projecting outward from the bottom. The flanges define a self-threading slide for threading the plastic bags from the wound roll along a predetermined path onto the separating tongue. The separating tongue separates the plastic bags from the wound roll as the plastic bags engage the separation tongue along a predetermined path of travel. A mounting bracket cooperates with the bottom to mount the container to a solid surface in a plurality of different positions while maintaining the desired orientation of the container, to ensure that the wound roll is biased against the bottom and the flanges for self-braking of the wound roll and for limiting overspinning thereof as plastic bags are serially separated therefrom.