FIG. 1 is a top left side perspective view of a combination pizza cutter and bottle opener, showing my new design; FIG. 2 is a top view thereof; FIG. 3 is a bottom view thereof; FIG. 4 is a front view thereof; FIG. 5 is a rear view thereof; FIG. 6 is a right side view thereof; FIG. 7 is a left side view thereof; and, FIG. 8 is a bottom right side perspective view thereof.