Here is the full list of all 32 Pushy and Pully in Blockland achievements.
Match 5 blocks of the same colour
Complete all stages in world 2 with a 3 star rating
Defeat 6 or more monsters with a single block or bomb
Defeat the UFO boss in world 1
Collect diamonds
Discover every way to die in the game
Complete all stages in world 1 with a 3 star rating
Complete the game without losing all of your lives
Complete the game without losing any lives
Defeat multiple monsters with a single block or bomb
Match 4 blocks of the same colour
Complete the game in less than one hour
Defeat monsters using bombs
Match 3 blocks of the same colour
Defeat monsters by pushing blocks
Finish the intro stage
Finish a stage after the timer runs out
Match 6 blocks of the same colour
Match 7 blocks of the same colour
Defeat monsters using throwing blocks
Push a monster into the trap door
Trick a monster into running into the trap door
Defeat the Ice Bot in world 2
Defeat the Jump Bot in world 3
Defeat the Plant Boss in world 4
Reach the final boss
Defeat the UFO Boss Mk2 in world 5 and win the game
Complete the game with two players
Complete all stages in world 3 with a 3 star rating
Complete all stages in world 4 with a 3 star rating
Complete all stages in world 5 with a 3 star rating
Complete every stage in the game with a 3 star rating