There are several different stores of energy. They are:
Magnetic energy
Kinetic energy
Gravitational potential energy
Elastic potential energy
Electrical energy
Chemical energy
Nuclear energy
Thermal/internal energy
A Magnetic store - energy is stored when two magnets (objects) are attracting or repelling each-other, for as long as their magnetic poles remain apart. This can also be a magnet and a magnetic material such as a piece of steel.
Kinetic energy store - energy stored in a moving object.
Gravitational potential energy store - energy stored in an object that is raised up against the pull of gravity.
Elastic potential energy store - energy is stored in a stretched elastic band, spring, etc.
Electrical energy store - Some objects carry electrical charges and create electric fields. These charged objects can exert forces on each other.
Chemical energy store - energy is stored in the bonds in chemical elements such as batteries, food or fuel, etc.
Nuclear energy store - energy is stored in the nuclei of an atom and is released during nuclear fission or nuclear fusion or radioactive decay.
Thermal/internal energy store - energy stored in an object with heat (all objects).