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 3 Stone stages
Complete ALL Mud stages
Perform 1000 or more box pushes
Do 3000 or more steps
Complete 3 Mud stages
Complete ALL Grass stages
Perform 500 or more box pushes
Do 1500 or more steps
Perform 250 or more box pushes
Do 500 or more steps
Complete 3 Grass stages