Some electromagnetic radiation, though much of it isn't going to get past the metal the chip is under or the shielding all around the active components of the console.
There could be some mechanical energy related to how the components may shift or change size as a result of thermal cycling, with potentially permanent changes due to deformation or cracking indicating a permanent change in the energy in those layers.
At the silicon level, tiny amounts of work are done when electrons can tunnel across barriers and become stuck, altering the charge for a time. Metal atoms in the interconnect and dopant atoms in the silicon will travel short distances under the influence of voltage potentials. These are part of the eventual degradation and failure of the silicon, assuming nothing else fails before they do. The amount of energy it would take to permanently shift the threshold of a transistor or cause 40nm wires to form gaps or a short would be a tiny amount spread out over a decade or more, but non-zero.