This is a story achievement so its unmissable. You will earn this during the "Dead Skunk in the Trunk" mission given to you by Joey Leone. You have to go get a car with a body in the trunk and crush the car. Once you obtain the car drive it to the car crusher and park it in the blue circle. Exit the car. A short animation will play which shows the car being crushed. Once the animation finishes and the car is crushed the trophy will unlock. You can also unlock this by taking any car to the car crusher even at the very start of the game.