The first bonus game will come up after you complete the round level. This bonus game is the classic "break car" and is exactly the same as it was in the first game. Simply hit the car over and over again to start to smash it. You need to attack the car from both sides to completely destroy it, and you can also pick up either a tonfa or a plank of wood to help you. Completely total the car to receive a "perfect", and a 20,000 points bonus.
The second bonus game appears after round 4 has been completed. This time you walk across a street and have to destroy a number of barrels. However, the barrels will sometimes spurt up fire, and if you destroy a barrel then you will fall down, wasting time. Destroy all the barrels within the time limit to receive a points bonus.