Here is the full list of all 17 Adventure Pop trophies - there are 14 bronze and 3 silver.
Collect 240 Stars
Beat World 3
Get 3 stars in all World 2 levels
Defeat the Golem
Collect 160 Stars
Beat World 2
Get 3 stars in all World 1 levels
Pop 10000 bubbles in Adventure Mode
Defeat the Mummy
Collect 80 Stars
Beat World 1
Defeat the second Chimera
Defeat the first Chimera
Complete all the Tutorial Levels
Pop 1000 bubbles in Adventure Mode
Pop 100 bubbles in Adventure Mode
Get 3 stars in all World 3 levels