Self-endowed chair in the US and Europe
Endowed professorship typically are the result of a large donation of money to the university that allows them to fully fund a position in perpetuity based on the earnings on the initial donation. This is generally much larger than what an individual can bring in from external sources. If you manage to bring in that type of income, you will likely have little problem obtaining a permanent position.

I am aware of one independently wealthy individual who made a large enough donation to establish his own professorship. Basically he spent a small fraction of his wealth (which would be a large fraction of the wealth of most academics) to become a full professor with minimal teaching and service duties. His research was funded from his charitable foundation and I believe the foundation paid the standard overhead rates. He was reasonably productive throughout his entire career and probably could have obtained a professorship without using his personal wealth, but given the competitive nature of the job market and limited availability of positions, probably not at the institution of his choosing.