Here is the full list of all 83 Inca Blocks achievements.
Destroy 15 blue blocks
Destroy 16 blue blocks
Destroy 14 yellow blocks
Destroy 15 yellow blocks
Destroy 20 blue blocks
Destroy 13 red blocks
Destroy 16 red blocks
Destroy 14 red blocks
Destroy 12 red blocks
Destroy 15 red blocks
Destroy 19 red blocks
Destroy 12 green blocks
Destroy 15 green blocks
Destroy 18 green blocks
Play for 10 minutes and don't lose
Destroy 14 green blocks
Destroy 13 green blocks
Destroy 13 yellow blocks
Destroy 12 yellow blocks
Destroy 11 green blocks
Destroy 11 blue blocks
Destroy 14 blue blocks
Destroy 13 blue blocks
Destroy 10 yellow blocks
Destroy 16 yellow blocks
Destroy 11 yellow blocks
Destroy 9 green blocks
Destroy 10 blue blocks
Destroy 8 red blocks
Destroy 10 red blocks
Destroy 11 red blocks
Destroy 9 blue blocks
Destroy 7 yellow blocks
Play for 5 minutes and don't lose
Score 100,000!
Destroy 8 green blocks
Destroy 10 green blocks
Destroy 12 blue blocks
Destroy 9 red blocks
Destroy 6 yellow blocks
Destroy 8 blue blocks
Destroy 9 yellow blocks
Destroy 7 blue blocks
Destroy 8 yellow blocks
Destroy 6 red blocks
Play for 1 minute and don't lose
Destroy 6 green blocks
Destroy 5 blue blocks
Destroy 2 blue blocks
Destroy 2 red blocks
Score 10,000!
Destroy 4 yellow blocks
Destroy 7 red blocks
Destroy 3 red blocks
Destroy 6 blue blocks
Destroy 4 green blocks
Destroy 2 yellow blocks
Destroy 4 red blocks
Destroy 2 green blocks
Destroy 3 blue blocks
Destroy 5 red blocks
Destroy 3 green blocks
Destroy 5 green blocks
Destroy 3 yellow blocks
Score 1,000!
Destroy 7 green blocks
Destroy 4 blue blocks
Destroy 5 yellow blocks
Destroy 17 red blocks
Destroy 18 red blocks
Destroy 20 red blocks
Destroy 16 green blocks
Destroy 17 green blocks
Destroy 19 green blocks
Destroy 20 green blocks
Destroy 17 yellow blocks
Destroy 18 yellow blocks
Destroy 19 yellow blocks
Destroy 20 yellow blocks
Destroy 17 blue blocks
Destroy 18 blue blocks
Destroy 19 blue blocks