Those forms cannot really compete with the neighbouring (or even overseas) nation-states. Look no further than the history of the North America and Australia after the Europeans discovered those continents.
I'm not suggesting that we have charity run aircraft carriers, nor a corporate Navy either for that matter. There are nonetheless many functions of government which can be performed by community organizations, particularly at the local level, where the problems are the most tractable and where people are most likely to perceive a sense of responsibility and get involved.
I'll give a concrete example: I don't think the government needs to be in the business of organizing youth football. Many sports get by just fine with sports teams organized, funded and run by volunteers. Youth baseball is usually this way; organized by dads and perhaps partially funded by local pizza shops (too corporate? Essentially harmless.) Football though is organized through school districts, funded by property owners paying their taxes. This isn't necessary.