Sometimes I think I am chating with high school kids on this forum. What's worse are people with no imagination. In a battery electrons move (change position) and thier velocity depends of the current passing through it. In Charcoal energy is released from carbon chains as heat, again another change. Water used in dams flows with great velocity and then slows down, again another change. No matter what form of eergy you are using there is a change, either of state or position. Simply put without possibility of change, there will be no energy and no need for it. Yes, you defined energy as property of a physical system, correct you can measure the energy of a system. I want to to however note that in all systems there is a change going on; in the energy source itself, the body in question, and the system as a whole. Its all about change, thats all there is in the universe, the dimensions of the change is however subject to the rate and path of change of the system, which is pretty much energy.
Example of how energy determines path of change
For example you never see someone migrating to a place with little food dupply, instead you see them migrating to a place with plenty food supply. Also electrons migrate to positive charges.
Example of how energy determines rate of change
Amount of cycles per sec a speed cyclist peddles his bike with human power. Speed of electrons in a circuit connected to a bulb
It also determined the amount of change
Nuclear explosions-all explosions in general
Hence E = mc^, an equation representing change
All energy changing to matter, and all matter changing back to energy, change is the only constant thing happening in the universe. Everything moves for a reason, follows a certain path, and has a rate of change- all determined by energy.