29 Bronze
5 Silver
3 Gold
1 Platinum

11 secret

Bronze

Friend of Alexander   
Collect 25 Turtles

Friend of Ira   
Collect 25 Geodes

Friend of Judith   
Collect 25 Seeds

Friend of Douglas   
Collect 25 Honeycombs

Friend of the Bull   
Collect 25 Skulls

Friend of KW   
Collect 25 Owl Eggs

Friend of Carol   
Collect 25 Houses

Veterinarian   
Collect all Turtles

Geologist   
Collect all Geodes

Green Thumb   
Collect all Seeds

Beekeeper   
Collect all Honeycombs

Hamlet   
Collect all Skulls

Incubator   
Collect all Owl Eggs

Real Estate Mogul   
Collect all Houses

Nova   
Find 5 Stars

Supernova   
Find 20 Stars

Star Cluster   
Find 40 Stars

On Fire   
Defeat 250 Fireflies

Greased Lightning   
Defeat 25 Lightning Bugs

The Cleaner   
Defeat 100 Shadow Creatures

Jack of Hearts   
Earn 4 Hearts

King of Hearts   
Earn 7 Hearts

Three Square Meals   
Be eaten by three different Wild Things

Worst King Ever   
Allow three different Wild Things to sink into oblivion

Gymnast   
Power-swing from three bars in a row

Allergen   
Cause three different Wild Things to sneeze

Demolitionist   
Defeat five Fireflies with one bomb

Glass Houses   
Start a Dirt Clod Fight with multiple Wild Things

Wild Rumpus!   
Defeat 15 enemies in a row in melee without being hit

Silver

Galaxy   
Find 65 Stars

Universe   
Find 95 Stars

Ace of Hearts   
Earn 10 Hearts

Captain   
Complete a Ride Carol mission without crashing

Commodore   
Complete a Sailing mission without crashing

Gold

Stranger
Complete the game on Easy or Higher

Hero
Complete the game on Normal or Higher

King
Complete the game on Hard

Platinum

All Trophies Awarded
All Trophies Awarded

Source: http://www.ps3trophies.org/game/where-the-wild-things-are/trophies/