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