Business migration is for those who already own (or part) a business that they're actively involved in managing. Business migration requires an annual turnover that is equivalent to at least AUD$500k (only Australia has a business migration pathway, NZ currently only has Entrepreneur and Investor options)
Investor migration is for those have high net wealth and are prepared to make investments in Australia or New Zealand. Net wealth must be at least AUD$2.25m or NZD$3m.
Entrepreneur is a relatively new pathway that is suitable for those have a good business idea and the drive to establish a startup or buy and develop an existing business. For NZ this has a very low entry requirement of a min NZ$100k available cash to fund the business. For Australia this typically requires A$200-300k to be available.