Another big reason Audi uses the new CVT is because it is lighter and has less moving parts than an automatic. Nowadays, automatics can pretty much keep up with CVT in the fluidity of the car's motion, look at any acceleration graph of any new car with automatic (such as the MB S500) and it is perfectly smooth. Of course a broad torque curve on the engine helps.
Currently the only thing CVT has going for it is the lighter wieght, and lower gas mileage, acceleration is still on par with manuals.
Bringing in automatic manual transmissions (ex alfa romero or ferrari f360 paddle) offer the best of manual effiecency without the hassle of clutch engagement, but slightly less fluid in the acceleration graph.
So the disadvanatages of CVT include the low threshold of torque, the "infinite amount of gearing" is not a complete truth because of the fact that infinite ratios are impossible, and CVTs are rather given a RANGE of ratios.
What would be interesting is using some a controllable fluid viscocity transmission. Basically the shaft from the engine is already geared to spin very fast, maybe 10x the rpm of the engine or more, and the output shaft has no contact with the input. They are both encased in a fluid that the viscocity can be controlled by electrical current, thus creating way more options for gear ratios, in this case the car would be geared down and gradually geared down less. The more thick the fluid, the more the output shaft rpm equals the input shaft rpm. Of course i am making all this up and there is no application for this since i dont think there is a fluid out there that can change its viscocity according to electricity (only chemical composition and heat that i know of can change visc). So my bogus controllable fluid viscocity transmission would completely depend on the fluid that has all the forementioned properties. But it would be cool.