FIG. 1 is a front elevation view of a tailgate kitchen assembly showing my new design;

FIG. 2 is a sectional view taken along lines 2—2 in FIG. 1;

FIG. 3 is a left side elevation view thereof, with the lid in an open position; and,

FIG. 4 is a right side elevation view thereof.

The portions of the article not shown in the drawings or desciribed in the specification form no part of the claimed design.