FIG. 1 is a perspective view of a hand-held electronic game apparatus housing showing my new design;

FIG. 2 is a top plan view thereof;

FIG. 3 is a bottom plan view thereof;

FIG. 4 is a right side elevation view thereof;

FIG. 5 is a left side elevation view thereof;

FIG. 6 is a front elevation view thereof; and

FIG. 7 is a rear elevation view thereof.