Gasoline itself isn't the problem. Originally, gasoline was a naturally occurring or easily fractionated mixture of hexane, heptane, and a little octane (usually with trace impurities of pentane and nonane and various isomers). Gasoline engines made as late as the 1930s ran on this mix straight out of the oil well in some locations (Pennsylvania, for instance), or straight from the distillery with no additives needed.
Then came high compression, requiring higher levels of the heavier fractions -- "octane number", as much as 100% octane -- for resistance to preignition. And then even higher compression, and leaner mixtures, and more spark advance, all in pursuit of higher power and efficiency, requiring octane numbers, in some cases, well above 100 (one grade of aviation fuel is 115 octane).
Obviously, you can't make a fuel with more than 100% content of octane, but over the period from 1930 to 1960 other additives (tetraethyl lead being the most infamous) were discovered that increased the effective octane number -- now defined in terms of "knock resistance" without actually requiring the presence of octane. It's these additives that are mostly responsible for aging effects on stored gasoline -- some are more volatile than hexane and so preferentially evaporate off, some are more prone to low temperature oxidation, which leads to things like "varnish" formation. All of them make the fuel more prone to dissolve stuff from the tanks and fuel lines.
Bottom line is, gasoline will still burn no matter how long it's been stored (in underground tanks, for instance), it just won't work well in modern engines. Solution: don't use modern engines, find old technology to burn your old gasoline.
Any common car engine built before the Second World War, and most modern aircraft engines, will run fine on additive-free gasoline, including old gas that's been stored underground, potentially for years. Further, those older engines almost always have a carburetor, rather than fuel injection, so they can be fairly readily adjusted to change the fuel mixture to run on ethanol, which is by far the easiest engine fuel to produce new.