Here is the full list of all 32 The Treasures of Montezuma 4 (PS3/Vita) trophies - there are 16 bronze, 9 silver, 6 gold and 1 platinum.
Obtain all available trophies in game
Purchase all decorations for your ziggurat
Earn rank 100
Gather all collectible items in "Puzzle"
Complete all goals in "Quest"
Earn rank 50
Get x99 points multiplier
Destroy 100 000 tokens
Destroy 500 ice cubes in "Ice" mode
Complete all levels in "Story" mode with gold
Complete all levels in "Puzzle"
Make a combination with total of 20 000 000 points
Destroy 500 fire tokens in the "Sacred Fire" mode
Collect 100 pairs of fragments in "Match Pairs" mode
Complete atleast one level in every game mode in "Puzzle"
Collect 5 000 crystals
Complete "Story" mode
Upgrade all totems in the shop up to level 4
Collect 100 crystals in one game
Earn 10 000 coins
Activate frenzy mode 50 times
Release 20 gems in one combo
Use totem abilities 300 times
Gather 500 gold bars in "Slotomania" mode
Destroy 500 tokens with "Dynamite" bonus
Make a 3-token combination with frogs on every one of them
Catch 100 frogs in "Catch the Frog" mode
Read all pages in "Help" menu
Make a 7-token combination
Get x8 points multiplier on crystals bar
Destroy 60 tokens in one combo
Complete a level without using totems