Re: Exactly anonymous!
For a moment, I took your title as a suggestion: let Anonymous run IANA.
I'm not entirely convinced this would be a worse solution than either a US or UN backed organization. It probably would lead to Balkanization when Anon plays with IP assignments "for the lulz", or just removes a domain of whoever some subset of Anon doesn't like today instead of using LOIC. But Balkanization is likely to happen anyway, and I doubt Anon would keep its shenanigans secret, unlike the US government.
Entirely too much thought into a ridiculous proposition, but when the "serious" answers are a joke, sometimes one must take a joke seriously.