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