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