Here is the full list of all 32 The Treasures of Montezuma 4 achievements.
Buy every decorative piece for the Ziggurat
Get rank 100.
Collect all items of the Puzzle mode collection
Destroy 1,000 fire tokens in the Sacred Fire mode
Match 130 pairs of items in the Match Pairs mode
Collect 500 frogs in the Catch the Frog mode
Complete all goals in the Quest mode
Complete all levels in the Story mode with gold
Get rank 50.
Win 50 times in the Spring mode
Destroy 100,000 tokens
Earn 25,000 coins.
Complete all levels of the Puzzle mode with gold
Make Tagile sneeze 10 times for the level.
Collect 5,000 gems
Complete the Quest mode
Use the Yellow Totem 100 times
Release 15 gems for 10 seconds
Complete 10 goals in a row in the Quest mode.
Complete the Story mode
Collect 1,000 gold coins in Slot Mania mode
Activate Score Frenzy 100 times
Use the Purple Totem 100 times
Use the Green Totem 100 times
Use the Orange Totem 100 times
Use the White Totem 100 times
Use the Blue Totem 100 times
Use the Red Totem 100 times
Release 20 gems in one combo
Read the entire help menu
Play 10 games in any mode without clicking a hint
Destroy 40 tokens in one combo.