Here is the full list of all 21 SpongeBob SquarePants: Plankton's Robotic Revenge trophies - there are 10 bronze, 10 gold and 1 platinum.
Unlock all trophies
Unlock all Gizmos and upgrades for Mr. Krabs.
Unlock all Gizmos and upgrades for Squidward.
Unlock all Gizmos and upgrades for Sandy.
Unlock all Gizmos and upgrades for Patrick.
Complete any freefall section without any players taking damage.
Players revive allies 20 times.
Players revive an ally.
Complete a level with 4 players.
Complete the Bikini Bottom levels.
Unlock all Gizmos and upgrades for SpongeBob.
Unlock every Gizmo on a single character.
Complete the Rock Bottom levels.
Complete the Dutchman's Triangle levels.
Players defeat 50 enemies by overloading them.
Players destroy 250 enemies.
Unlock and fully upgrade any Gizmo.
Complete a level without being defeated or revived.
Win the first encounter against Plankton.
Complete the first freefall section.
Unlock the Pickle Blaster.