Energy can be stored in different ways, including:
Moving things have kinetic energy. The more mass a thing has and the faster it moves, the more kinetic energy it has. All moving things have kinetic energy, even very large things like planets, and very small ones like atoms.
All objects have internal energy. This includes:
Some objects can change shape reversibly. Rubber balls, springs and elastic bands are like this. When a rubber ball is stretched or squashed, it can regain its shape again. Elastic potential energy is stored in stretched or squashed materials.
When an object is moved higher, it gains gravitational potential energy. The amount of energy it gains depends upon:
Some objects carry electrical charges and create electric fields. These charged objects can exert forces on each other. You get an electric current when charged particles move through a wire.
Some objects can be magnetised and create magnetic fields. They can exert forces on other magnetised objects, or on magnetic materials.