Can you give me an example where a system that isn't a government did a better job than a government could do, while maintaining a similar scale and level of in

Can you give me an example where a system that isn't a government did a better job than a government could do, while maintaining a similar scale and level of inclusion? It's easy to be successful when you reduce your goals from something like "vaccinate all long-term care residents in the state" to "vaccinate all the people who we have accepted into our long-term care facility which has a strict capacity limit and we turn away people when it's full or they don't pay us enough"