The advantages of non-renewable energy are found in two areas: cost and availability. Most of the energy-consuming products that run off of non-renewable energy sources have very little real competition from similar or comparable products that utilize renewable sources. For example, it is difficult to find a car or truck that runs off of rechargeable battery power, solar power, or electricity. If you did find one, it would be less efficient (wouldn't go as fast, be as practical, etc.) and cost a LOT more. The disadvantages, of course, are that they are non-renewable, meaning that when they're gone, they're gone. You can't replace natural gas, oil, or coal. Also, mining for these sources at such an intense rate can have devastating environmental effects.
Renewable energy, on the other hand, provides for cleaner, environmentally friendlier power sources. Once fully developed, they have the potential to be much more cost efficient (consider solar power; it's not like the sun is a market-based commodity that can be over or under produced to obtain a better selling price). However, until this type of power source is fully integrated into the market, products utilizing it will remain more expensive, less readily available, and more of a unique alternative rather than viable competitor.