Because improper disposing of waste can lead to air, land and water pollution. From there all food or water we consume will be polluted, is this enough reason?
We should do this because animals and humans can and will die of too much waste and pollution in the air. We should all recycle and reuse what we own so junk could be treasure. If you absolutely have to throw it away don't throw it out the window throw it in a trash can or recycling bin if it is paper or plastic.
They should be disposed in a safe manner because some things could catch on fire, cause global warning, and could kill animals if they eat it, possibly force them into extinction. I could name one hundred of reasons, you asked for three.Peace!