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