Here is the full list of all 16 BlockGame achievements.
Unlock Sugar Cube by freeing him from his curse.
Unlock Hazel by tricking pesky squirrel blocks.
Unlock Mr. Mug by getting a bunch of points.
Unlock A Bee by getting a ton of points.
Unlock one alternate costume.
Unlock all alternate costumes.
Unlock the underwater level.
Unlock the mountain level.
Unlock the space level.
Destroy the maximum number of blocks possible with a bomb.
Reach of a combo of 600 or more in the arcade block minigame.
Break two or more pinatas in one match.
Get a lifetime score total of 250,000.
Get a lifetime score total of 500,000.
Get a high score of 6,000 or higher (9,000 in co-op).
Get a high score of 10,000 or higher (15,000 in co-op).