Wheel of Misfortune (Unlocked by Challenge Key in Sensei's Lost Castle)
Run over the wheel and collect the score bubbles while avoiding the obstacles. At the start, grab as many points as you can while the wheel is still spinning slowly. As the wheel starts to spin really fast, go for survival instead and make your goal to just not die. This will make for a fine score.
Roller Castle (Unlocked by Challenge Key in Sensei's Lost Castle)
Grab onto the wheels and launch yourself up within 120 seconds of time. If you collect points the timer will temporarily freeze, but don't let that be your goal. Be sure to not get spiked against the walls, and make your way to the top in a calm yet speedy/steady pace.
Daruma San (Unlocked by Challenge Key in The Endurance Dojo)
Race to the end while jumping over the Daruma Dolls. The key here is to do this as fast as possible. NEVER go back for any points you may have missed, but be sure to grab as many as you can while going for the finish.