Successfully complete one of the following tasks to get a trophy:

Aces High (Bronze): Ace time on 3 straight levels.
Consecutive Consistency (Bronze): Quick reactions and steady aim let you hit 20 straight chains.
Interloper of Puny! (Bronze): Your adventure takes you through the Temple of Zukulkan.
Quetzal Quatl Questing (Silver): Your adventure takes you through the Quetzal Quatl Temple.
The Temple of the Tree Frog (Silver): Your adventure takes you through the Popo Poyolli Temple.
Iron Frog (Silver): Your quest is complete. You have completed Adventure Mode.
The Zen of Zuma (Silver): Finishing a level in 8 seconds or less takes great concentration.
Get Rich Quick (Silver): Fill your treasure chest by collecting 100 coins.
Win one for the Gapper! (Silver): Use your keen aiming skills to hit 100 gap shots.
From a Tadpole to a Frog (Gold): Rise to the Son of Sun rank in Gauntlet Mode.