Here is the full list of all 13 Krinkle Krusher trophies - there are 9 bronze, 3 silver and 1 gold.
Complete every stage with "Flawless Victory".
Upgrade the 5 elemental rings to level 5.
Complete every stage with 3 stars and get all magical gems.
Knock back the King with spikes and tornados.
Imprison the King Krinkle forever!
Defeat the Kranium Krinkle.
Feed Kranium with some spicy krinkles!
Get all spells.
Defeat the Mecha Krinkle.
Knock back the Mecha Krinkle with his own bomb.
Unlock the Mage's Room.
Use an elemental krinkle explosion to kill 4 other krinkles.
Show who's the best by defending the castle!