Here is the full list of all 15 Super BoxMan Ultra achievements.
Complete Grass, Stone, Sand and Mud worlds
Complete ALL Sand stages
Complete ALL Stone stages
Complete ALL Mud stages
Perform 1000 or more box pushes
Complete ALL Grass stages
Do 3000 or more steps
Complete 3 Sand stages
Perform 500 or more box pushes
Complete 3 Mud stages
Do 1500 or more steps
Perform 250 or more box pushes
Complete 3 Stone stages
Do 500 or more steps
Complete 3 Grass stages