I agree with your sentiment with the DMV, but I would remove USPS from your example.

That specifically is not federally funded, does have alternatives (FedEx, UPS), is under both economic & political pressure to compete, AND outcompetes the private alternatives by serving all addresses in the continental US. In fact, FedEx and UPS often add USPS to their routes for last-mile deliveries when it is economically advantageous - so it is those private carriers who are being subsidized by USPS