FIG. 1 is a rear perspective view of a portable accessory container embodying our new design;

FIG. 2 is a rear elevational view of the design;

FIG. 3 is a front elevational view of the design;

FIG. 4 is a side elevational view of the design, the opposite side being a mirror image thereof;

FIG. 5 is a top plan view of the design; and,

FIG. 6 is a bottom plan view of the design.