That's a good one, SteveCNC. The lack of efficient, easily managed storage has crippled... well... everything. Consumer electronics, air and ground transportation, and space exploration. But what improvement in power density would be needed to qualify as game-changing? How would the VC recognize a great investment when he/she saw one?
Actually, Nasa/JPL deep space probes may give us some useful guidance on what a reasonable goal would be. The laws of weight versus power are the most extreme for space projects. When JPL needs an extra long, easily managed, dense source of energy, they use various forms of atomic thermal generators. It would seem, therefore, that densities along of the lines of atomic thermal generators would be the minimum goal for new batteries.
Looking for something with the energy density of fissionable uranium is not good news for would-be battery innovators.
According to the back of my envelope, since the introduction of the electric car in the 1890s, the power density of lead-acid batteries has merely doubled. Had the development of batteries followed what's commonly known as Moore's Law, doubling every two years, my arithmetic shows that the power density of storage batteries would today exceed that of Antimatter. Seriously. Antimatter. Perhaps someone with math skills better than mine can improve upon my conclusion here.
At any rate, since usable power densities approaching antimatter are impossible, that leaves various forms of atomic energy as the only solution to the storage issue.
And this is not good news for consumer products or Earth transportation or my new iPad.
Were I the Managing Partner of this hypothetical venture capital firm looking for your power storage game-changer, my current impression is that any prospective portfolio company would need to demonstrate a non-nuclear solution capable of somewhere between 10 and 33 MJ/kg, at a cost appropriate for commercial applications.
So unless someone out there has an affordable 10 MJ/kg solution in the works - the world needs to get accustomed to fossil fuels for the duration of our life on this planet.
Your mileage may vary, especially if you're driving a Prius (I suppose. Never been in one. Do they still get great mileage with the air conditioner on and the radio blaring? I'm not an environmentalist, so I don't know. Just wondering).