I claim the ornamental design for the high definition television with integrated gaming and multi-media devices, as shown and described.
FIG. 1 is a front view of the high definition television with integrated gaming and multi-media devices.
FIG. 2 is a rear view of the claimed design wherein a mounting bracket is depicted in broken lines and is environmental matter forming no part of the claimed design.
FIG. 3 is a left side view of the claimed design.
FIG. 4 is a right side view of the claimed design.
FIG. 5 is a top view of the claimed design.
FIG. 6 is a bottom view of the claimed design; and,
FIG. 7 is a perspective view of the claimed design.