A combination tilt-out and pick-off basket assembly for storing items on a door of a refrigerator includes a coated wire basket pivotally attached to a molded plastic basket frame. Pivot shafts on the basket snap-fittingly engage apertures in the basket frame and allow the basket to move between a retracted position, wherein the basket is substantially recessed within the basket frame, and a tilt-out position, wherein a substantial body portion of the basket is exposed outside the basket frame. A stop member is provided for limiting the degree to which the basket can pivot relative to the basket frame. Mounting members formed in the basket frame allow the assembly to be removably supported on mounting supports on a freezer or fresh food compartment door liner.