Here is the full list of all 15 Smash Crates achievements.
Collect all the character hats
Unlock all characters
Destroy 50 opponents
Destroy 100 opponents
Destroy 500 opponents
Destroy 1000 blocks
Destroy 5000 blocks
Destroy 10000 blocks
Destroy 100000 blocks
Run out of Lives, death is only the beginning
Die by falling into lava
Play your first battle mode
Play survival mode
Play zone control
Win without losing a life