ASIC v Healey, usually called Centro, is the director-duty case that says a board cannot approve accounts with eyes half shut. The missing or misclassified liabilities were not obscure accounting tricks. They were large, obvious matters that directors with knowledge of the business should have noticed before approving the reports.
For small-company directors, the scale may be different but the discipline is the same: read the financial information, ask questions about debt and cash flow, and do not treat adviser involvement as a substitute for your own attention.