Here is the full list of all 54 Storm Tale achievements.
Collect 120 gold nuggets
Collect 510 gold nuggets
Collect 850 gold nuggets
Collect 350 golden tiles
Collect 1940 golden tiles
Play 5 levels in a row
Play 14 levels in a row
Play 25 levels in a row
Buy 1 building
Buy 7 buildings
Buy 14 buildings
Explode 6 TNT barrels
Explode 18 TNT barrels
Explode 32 TNT barrels
Use the Sword power-up 5 times
Use the Sword power-up 10 times
Use the Sword power-up 20 times
Make a chain of 3 bonus power-ups
Make a chain of 5 bonus power-ups
Make a chain of 7 bonus power-ups
For being the Top Score in 15 levels
For being the Top Score in 32 levels
For being the Top Score in 60 levels
Collect 4 chests
Collect 20 chests
Collect 80 chests
Play 2 days in a row
Play 4 days in a row
Play 6 days in a row
Destroy 60 earth obstacles
Destroy 190 earth obstacles
Destroy 260 earth obstacles
Break 40 ice cubes
Break 108 ice cubes
Break 180 ice cubes
Break 25 lava stone
Break 64 lava stone
Break 82 lava stone
Complete 20 new levels
Complete 45 new levels
Complete 90 new levels
Use Lightning power-up 5 times
Use Lightning power-up 12 times
Use Lightning power-up 20 times
Destroy 50 metal tiles
Destroy 130 metal tiles
Destroy 190 metal tiles
Make a combo of 24
Make a combo of 32
Make a combo of 40
Collect 9 keys
Collect 20 keys
Collect 49 keys
Collect 1000 golden tiles