Here is the full list of all 14 Zuma's Revenge! achievements.
Beat Heroic Frog Mode
Acquire 8 fruits using the Proximity Bomb
Earn at least 25,000 points from a Multiplier Bonus in Challenge Mode
Acquire an 11x Multiplier Bonus in Challenge Mode
Get two Clear Curve Bonuses on one level
Get a 20x Chain
Beat Ace Time on 10 unique levels
Complete Adventure Mode
Hit a Double Gap Shot
Trigger a powerup by using the Laser, Lightning or Tri-Shot
Win an Ace trophy in 4 Challenge Cups
Force feed the God of Pestilence 20 balls in 20 seconds
Beat Iron Frog in less than 25 minutes
Activate MuMu mode