FIG. 1 is a front perspective view of a handheld electronic device case; FIG. 2 is a back perspective view of the handheld electronic device case; FIG. 3 is a front elevation view thereof; FIG. 4 is a back elevation view thereof; FIG. 5 is a top plan view thereof; and FIG. 6 is a bottom plan view thereof. FIG. 7 is a left elevational view thereof; and, FIG. 8 is a right elevational view thereof.