alt Hacker NewsJet engines - Frank Whipple (England) and Franz Ohain (Germany) invented them. In both cases the governments were not interested in them until flying jet aircraft were demonstrated. Lockheed was ordered by the government to abandon their jet engine project and focus on piston engines instead (which resulted in the US having to get started on jet aircraft by buying British machines).
Human genome - J. Venter was the first to sequence the human genome, privately funded.
the entire space industry - Liquid fuel rockets were pioneered by Goddard, through private funding.
Radar - originated from late 19th-century experiments on radio wave reflection, pioneered by Heinrich Hertz in 1886. While Christian Hülsmeyer patented a "telemobiloscope" for ship detection in 1904
The proto-Internet - Pioneered by Samuel Morse, see "The Victorian Internet" by Tom Standage. Privately funded.
Optical data storage - Invented by D Gregg, https://en.wikipedia.org/wiki/David_Paul_Gregg, at a private company.
Nuclear energy - a very long list of contributors. See "The Making of the Atomic Bomb".
And so on.
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Whittle (Whipple is a painter) "invented" the jet engine while serving in the RAF, so technically not privately funded at the point of invention. There was private funding used later to create prototype engines.
Quite a stretch to say the Atomic Bomb was privately funded!!!
No company ever got a man to the Moon.
Sure, some companies participated in the process. But it was a government that did it.
It's been more than 50 years and private companies haven't been able to match it.
The greatest technical achievement of mankind was done by a government. Private industry could, at best, help.
Sorry all the other things you name are great. But the winner is government.