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