I say it isn't theoretically possible for utilitarianism to have more problems than any other approach, because any other approach can be recast in a utilitarian framework, and then improved by making it handle more cases.
"Improved" is a tricky word here. If you're discussing the position of an almighty god contemplating the universe, then yes, I agree. But when it comes to practical questions of human social order and coordination and arbitration of human interactions, the idea that such questions can be answered in practice by contemplating and maximizing some sort of universal welfare function, i.e some global aggregate utility, is awful hubris that is guaranteed to backfire in complete disaster -- Hayek's "fatal conceit," if you will.
To a decent first approximation, you're not allowed to use the words "hubris" and "guaranteed" in the same sentence.
I'd like to see book reviews of books of interest to LW. Some suggestions:
ADDED: I don't mean I'd like to see reviews in this thread. I'd like each review to have its own thread. In discussion or on the "new" page is up to you.