Here is the full list of all 31 The Treasures of Montezuma 4 trophies - there are 15 bronze, 9 silver, 6 gold and 1 platinum.
Purchase all decorations for your ziggurat
Earn rank 100
Gather all collectible items in "Puzzle"
Complete all levels in "Story" mode with gold
Earn rank 50
Destroy 500 ice cubes in "Ice" mode
Complete all goals in "Quest"
Make a combination with total of 20 000 000 points
Destroy 100 000 tokens
Complete all levels in "Puzzle"
Collect 100 pairs of fragments in "Match Pairs" mode
Destroy 500 fire tokens in the "Sacred Fire" mode
Upgrade all totems in the shop up to level 4
Collect 5 000 crystals
Complete atleast one level in every game mode in "Puzzle"
Complete "Story" mode
Release 20 gems in one combo
Earn 10 000 coins
Collect 100 crystals in one game
Gather 500 gold bars in "Slotomania" mode
Activate frenzy mode 50 times
Use totem abilities 300 times
Catch 100 frogs in "Catch the Frog" mode
Get x8 points multiplier on crystals bar
Destroy 500 tokens with "Dynamite" bonus
Make a 3-token combination with frogs on every one of them
Make a 7-token combination
Destroy 60 tokens in one combo
Complete a level without using totems
Obtain all available trophies in game
Get x99 points multiplier