Here is the full list of all 16 Sigma Impact achievements.
Beat the game using mostly the hammer
Beat the game using mostly the mace
Beat the game using mostly the spike
Beat the game using mostly the jet hammer
Beat the game using mostly the yoyo
Beat the final boss
Get 3 goals in a row without the ball touching a wall or a player
Beat the game without ringing any bells, only destroying them
Beat NewGame+ level 5
Beat NewGame+ level 10
Get a highscore over 50,000
Beat the game in under 10:00
Balance a weapon on your head for 10 seconds
Hit an enemy with a long throw attack
Find the secret weapon in the starting area