Here is the full list of all 63 Puppeteer trophies - there are 58 bronze, 3 silver, 1 gold and 1 platinum.
Unlock all trophies.
PLAYER 2: Collect 3,000 Moonsparkles.
PLAYER 2: Defeat 50 grubs.
PLAYER 2: Throw away Player 1's head 10 times.
Play with a friend for the first time.
Rescue all of the captive souls.
Use every Head Action correctly.
Set 22 puppet children free in a single playthrough.
Defeat 1,000 grubs.
Find every type of head.
Complete all Bonus Stages within the time limit.
Collect all the Hundredsparkles using Kutaro.
Make it through outer space without taking any damage.
Witness the end of each of the three puppet fugitives.
Reunite all the iceberg dwellers for a toast.
Make it across General Dragon's back without taking any damage.
Shoot down all the pigeon squadrons.
Wear yourself out listening to Mr. Pink.
Listen to Dracula's entire rant.
Find the secret route while on a diet.
Perform 300 successful Guards.
Peek in on all the wrestlers' home lives.
Win the train race without taking any damage.
Cut all the souls from all the Weavers without letting a single one recover.
Save all the Wild Waste locals.
Watch the Moon Witch transform Pikarina and Ying Yang in every possible way.
Foul the Witch in the wrestling ring.
Keep all the baby crabs safe.
Don't take any damage while riding the squid.
Shoot down all the seagulls using the deck cannons.
Defeat the Kappagaeru without touching the ground.
Anger the mother of all squirrels.
Turn all the caterpillars into butterflies, then cut them down.
Collect 10,000 Moonsparkles.
Defeat 30 grubs using Body Slams.
Defeat 3 grubs with a single Bomb.
Open the nested Moon Bear King doll all the way.
Read all the picture books.
Defeat the Moon Bear King.
Find 50 different types of heads.
Make 10,000 cuts with Calibrus.
Perform 20 consecutive Boost Cuts without touching the ground.
Defeat General Monkey.
Defeat 100 grubs after reeling them in with the Hookclaw.
Defeat General Dragon.
Defeat General Rooster.
Defeat General Rabbit.
Pick up your fallen head 100 times.
Defeat General Robo-Dog.
Rescue a ton of captive souls.
Defeat General Dog.
Defeat General Bull.
Defeat General Horse.
Defeat Generals Pig and Sheep.
Use cuts 100 times to juggle grubs and keep them in the air.
Defeat General Snake.
Arm yourself with three of the same head.
Defeat General Rat.
Defeat General Tiger.
Rescue your first soul.
Make your first cut with Calibrus.
Obtain your first head.
Investigate the environment for the first time.