Here is the full list of all 14 Critter Crunch trophies - there are 11 bronze, 2 silver and 1 gold.
Reach experience level 5 in online Versus mode
Complete Challenge mode
Complete both Adventure mode and Puzzle mode
Complete 35 Adventure levels while also feeding Smalls to completion
Complete 25 Puzzle levels
Survive to level 9 in Survival mode
Unlock Survival mode
Complete 6 Combos in a single level
Complete 10 Food Chains in a single level
Win an online Versus match
Pop a chain that is 15 critters long
Complete a puzzle level with moves remaining
Unlock Challenge mode
Unlock Puzzle mode