Where is the pencil czar?
newsweek.com
newsweek.com
And I don't even know about scientific research. I've talked to people at private research groups (e.g. Microsoft Research), and at major universities; the latter spend a lot less time doing research, and a lot more time delegating to grad students or hustling for grants. It is ironic, I guess, that the public servants spend their time in such bourgeoisie pursuits, while the capitalists are busy doing research.
Lighthouses in England are maintained by Trinity House (http://en.wikipedia.org/wiki/Trinity_House) which is not in any recognizable way a private organization. While it operates with a large degree of autonomy, it is part of the UK government.
According to Coase, Trinity House funds its activities through "light dues" that are assessed on a per-tonnage basis to ships arriving at or departing from British ports. Assuming that there are never shortfalls or times when TH needs to draw on outside funds, then the scheme is self-supporting.
IOW, We're not looking at a bunch of hard-working libertarian lighthouse keepers each independently negotiating with ship captains in a free market.
Pure research is only funded for its tangible benefits to society. That's why private research is more successful.