Company register is defined as List of registered (limited liability) companies. In Czech Rep and I believe in many other countries, this data is available through a HTML search interface. You can query for names of companies or owners and get data bit by bit. Or scrape. I would rate this as available but not in bulk.
If it can only be queried by the official registry number, and not by name or other more recognizable criteria (that is the case of Brazil), I don’t think it qualifies as available.