FIG. 1 is a top, front, and right side perspective view of an appliance mounting stand showing my new design, the broken-line disclosure of a television set being for illustrative purposes only and forming no part of the claimed design;

FIG. 2 is a bottom, front, and right side perspective view thereof;

FIG. 3 is a top plan view thereof;

FIG. 4 is a bottom plan view thereof;

FIG. 5 is a left side elevational view thereof, the right side being a mirror image;

FIG. 6 is a front elevational view thereof; and,

FIG. 7 is a rear elevational view thereof.