ASIC administers applications for business names and corporate entities and keeps registers which are accessible to the public. Free name enquiries can be made online here: ASIC Registry Search
Information about a company’s status and any process (e.g. winding up notices) can be checked and downloaded at cost.
For business registrations go here or here.
ASIC also has oversight of the regulation of credit providers, financial advice and SMSF auditors.
See asic.gov.au