"the Bank of France maintains files which are only available to financial institutions holding a licence delivered by the Bank of France. The files only relate to a person if they have written bad checks, have participated in fraudulent activities, have been declared bankrupt or have bounced checks in France."
So the bank of France is a centralized credit bureau. So going by that, it's actually much more similar than different from the US system. The US system adds proprietary algorithms designed by actuaries to that rather than, or in addition to, manually underwriting. But it's not all that different other than being for profit.
We have many private companies act as data brokers here in the US, as opposed to a single central bank or government agency, because Americans hate government and love private businesses. The US is like "the government can't do anything, let private companies handle it and make money off it and the free market solves everything." We seem to be just learning that the free market can have problems too...
Designing a centralized government run system is a non-starter in the US. Even now.