Mechanical Energy is the energy of motion that does the work. An example of mechanical energy is the wind as it turns a windmill.
Heat energy is energy that is pushed into motion by using heat. An example is a fire in your fireplace.
Chemical Energy is energy caused by chemical reactions. A good example of chemical energy is food when it is cooked.
Electrical Energy is when electricity creates motion, light or heat. An example of electrical energy is the electric coils on your stove.
Gravitational Energy is motion that is caused by gravity. An example of gravitational energy is water flowing down a waterfall.