There are no non-examples. If it existed, it would not be a law! The law of conservation of energy applies to mass, since mass is a form of energy, E = mc2. Examples of conservation laws are: Law of Conservation of Mass. Royalty Conservation Act. Law of conservation of momentum. Energy Conservation Act, etc. THE LAW OF CONSERVATION OF ENERGY IS ITS REGULARIZATION. James Joules created the Energy Conservation Act. There is no such thing – energy is ALWAYS conserved.