Money has worked pretty well over the years, but it is best suited to zero-sum trading (where, for example, I give you a chair and you give me $50, and then we are both happy.) Money is not so great at modeling other situations though, like chore distribution in a household, or volunteer efforts in a community. In fact there are lots of things we would like to do where money really isn't appropriate, because the nature of the transaction is just different. For instance if I watch a video online, I've gotten entertainment, but I didn't take anything away from the author, not time, not a physical good, so the interaction is not really zero sum.
Charles Stross writes about this topic in the early parts of Accelerando, where Manfred Manx is trying to escape the old zero sum economy altogether by simply doing favors for people and letting them reward him as they see fit. Clay Shirkey talks about large groups of people coming together for non-monetary projects in Here Comes Everybody, but what is missing is a currency... The good will and social capital that is built up within a micro-community is inherently non-transferable to another community, and without the security of being able to quantify and transfer this social good, incentives are low to produce it, and trade remains local and conservative.
In the early days of physical trade, local bartering systems gave way to communal, interchangeable currencies. What we have now is a similar problem, where we have a billion tiny economies of sharing, but no currency to tie them together, no liquidity of volunteerism. In the same way that your net worth in dollars is a measure of how much you own and control, your net worth in the currency of sharing will reflect the strength of your ties to the community, and the community's ties to you. Similarly to money, it will confer real-world benefits. Unlike money, it does not go away when you use it.
*I am not an anarchist or a communist, and in fact I don't think that money will ever quite go away, but I'd like to see a parallel system of currency that is better suited to the future.