Here is the full list of all 14 Rock of Ages II: Bigger and Boulder trophies - there are 12 bronze, 1 silver and 1 gold.
Defeat the Dragon without losing any boulders.
Defeat The Thinker without losing any boulders.
Defeat the Sphynx without losing any boulders.
Win the match against God without letting him score any goals.
Get a bronze medal in all time trial levels.
Get a silver medal in all time trial levels.
Get a gold medal in all time trial levels.
Win a match of War without letting the enemy touch your door.
Win an online match of War.
Win an online match of Obstacle Race.
Win a match of War using only animals to defend (cows, whales, lions, bulls or elephants).
Destroy the enemy boulder using the thundercloud.
Cross the Dragon's sea once without falling into the water.
Destroy the castle doors using the Block of Ages.