Here is the full list of all 44 SpongeBob SquarePants: The Cosmic Shake trophies - there are 31 bronze, 9 silver, 3 gold and 1 platinum.
Collect all Trophies
Unlock your first costume
Complete all main missions in the Wild West Jellyfish Fields
Complete all main missions in Karate Downtown Bikini Bottom
Complete all main missions in Pirate Goo Lagoon
Complete all main missions in Halloween Rock Bottom
Complete all main missions in Prehistoric Kelp Forest
Complete all main missions in Medieval Sulfur Fields
Complete all main missions in Jelly Glove World
Save Bikini Bottom from being destroyed
Defeat 10 Baby Booms by reflecting their missile
Defeat 10 enemies with the Burrower
Defeat 25 enemies with the Big Jelly's attack
Catch Mr. Krabs in under 3 minutes
Don't take damage during the Sandy boss fight
Reclaim the Dutchman's ship within 5 minutes during the boss fight
Don't get seen by King Gary during the boss fight
Evade all of Pom Pom's shockwaves during the Boss fight
Deliver all cakes without getting hit once
Have Glovey Glove defeat 20 enemies during the boss fight
Don't get hit by Jelly Squidward's tentacles during the boss fight
Defeat 5 Jelly Makers by knocking other enemies into them
Push 50 enemies with the Jelly Maker roar
Defeat a Big Jelly with the Baby Boom projectile
Bubble 10 Tartar Jellies that are currently engaged in an attack
Defeat 25 Ninjellies with environmental hazards
Defeat 50 enemies without taking damage inflicted by them
Bubble an enemy that hasn't detected SpongeBob yet
Carry 10000 Jellies at once
Catch 50 Jellyfish
Destroy 500 objects
Bubble 100 enemies
Karate Kick 100 enemies
Press 50 buttons
Destroy 1000 Tikis
Suck in a total of 100 enemies with the Reef Blower
Glide 1000 meters throughout the game
Jump 10 times in a row on one Jump Pad
Find the secret in every level
Hit 25 NPCs
Spin 6 Beach Umbrellas at once
Listen to a Slamvil perform a solo in peace and quiet
Unlock all costumes
Clear every level and defeat the final boss