noun which may take the genitive case particle 'no'
unconventional; outside the box; breaking with common sense
Describes ideas, actions, or people that defy conventional wisdom or established norms. Often carries a positive or daring nuance.
His unconventional proposal changed the meeting.
They developed a new product with an outside-the-box idea.
非常識 means 'lacking common sense' and is usually negative, whereas 常識破り can be neutral or positive, implying deliberate innovation.
Compound of 常識 (common sense) + 破り (breaking, from 破る). The exact historical derivation is uncertain, but the word follows a productive pattern for describing someone or something that defies a norm.