Here is the full list of all 36 Stack Stones achievements.
Reach Level 5 in SinglePlayer
Collect 5 Items
Finish a SinglePlayer Game and get at least one star
Finish First Level in SinglePlayer
Collect 15 stars in SinglePlayer
Collect 30 stars in SinglePlayer
Collect 45 stars in SinglePlayer
Collect 60 stars in SinglePlayer
Reach Level 10 in SinglePlayer
Reach Level 15 in SinglePlayer
Reach Level 20 in SinglePlayer
Collect 50 Items
Collect 100 Items
Hit 5 Crows
Hit 50 Crows
Hit 100 Crows
Play your first MultiPlayer Game
Play 5 MultiPlayer Games
Win your first MultiPlayer Game
Win 5 MultiPlayer Games
Win 20 MultiPlayer Games
Win 50 MultiPlayer Games
Win 99 MultiPlayer Games
Use 20 Defensive Items
Use 20 Disaster Items
Use 20 Offensive Items
Use Glue 5x in the same Game
Use Shield 5x in the same Game
Use Shrink Stones 5x in the same Game
Use Square Stones 5x in the same Game
Use Cancel Effects 5x in the same Game
Use Cannon 5x in the same Game
Use Catapult 5x in the same Game
Use Earthquake 5x in the same Game
Use Meteorite 5x in the same Game
Use Scale Stones 5x in the same Game