Many countries charge a flat x% on revenue (not profit). There is also sales tax (VAT) which has to be eventually paid off by the final consumer. There also other taxes derived from the activity (real estate, employees, etc.). So hardly any company can "operate" without paying any taxes.
Corporate income tax is usually a small slice of the overall taxation of a country.
What GDP measures (and what I meant) is the visible part of the economy that the government has knowledge of; and therefore can (not necessarily do) tax.