Here is the full list of all 11 Destroy Blocks achievements.
Pass Level 1
Get 50 stars for completing levels
Get 100 stars for completing levels
Get 150 stars for completing levels
Destroy 3 blocks in 1 second
Destroy 6 blocks in 1 second
Tried to destroy a Death Block
Destroy 50 Ice Blocks in Levels
Destroy 150 Blocks in Levels
Destroy 25 Woods In Levels
Destroy 500 Blocks in Levels