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