Wizman
Challenge 1: Create 2 ice or fires
Collect 2 of the same colour wand & then press the A button to uleash your attack then repeat to make another appear.
Challenge 2: Get 8 glowing crystals
First collect the 2 blue wands, then look carefully at the lines of blue dots you will notice one of the larger crystals is glowing, as you collect it the next one will then glow, follow the glowing crystals in order till you have collected 8.
Challenge 3: Clear the 4th floor
Pretty self explanatory, reach & clear the 4th floor.
Challenge 4: Collect 10 pieces of treasure
Treasure appears in the center of each maze for every 50 & 100 dots eaten, collect 10 of them.
Kung fu
Challenge 1 : Get the red hit mark
Either using punch or kick, hit a enemy & then soon as the white hit mark appears press the same attack button again, if your timing was right it should turn red. So basically you press the same button twice but leave a tiny pause in between presses.
Challenge 2: Beat the level 1 mid boss
Pretty self explanatory hehe.
Challenge 3: Get 4 Ki items to get Muteki ken power & use it.
If you get 2 enemys on the screen, quickly do a combo of kick & then punch. If you get the timing right & get the red hit mark the first enemy will fly across the screen into the other. When they hit, they will drop a yellow Ki orb get 4 of these to activate Muteki ken power, just hit any enemy while in muteki mode to beat the challenge. I found the easiest way to get 2 people together on screen is to walk left get 2 & then walk back to the right till the screen scrolls & then go left again as the enemys respawn.
Challenge 3: Beat the boss at the end of level 2
The boss is equipped with a sword so be careful as it takes a lot of health off you if it hits.
Demon returns
Challenge 1: Air ride
Goto an enemy & press B to hit it with your cape it will cause the enemy to spin, now jump on top of it to ride it, now just jump in the air while riding the enemy.
Challenge 2: Get tornado attack
Collect 2 moon medals from the purple blocks then use the B button to fire a tornado to break any stone skull block to complete the challenge. The moon medals look like gold coins with moons on.
Challenge 3: Get 100 souls
Collect 100 souls, they are hidden in the stone skull blocks & some of the pots you find, if you press the B button to hit a pot with you cape they sometimes have souls in too.
Challenge 4: Beat level 1-4
Get all the way to the end of level 1-4 & beat the boss, no warping is allowed
Found this on GameFaqs in their GameCenterCX 2 fourm, where they have a on going faq tread
link to thread