Well, since "most beer" means Bud, Miller and Coors, yeah. There are tons of great beers that cellar well. Do not cellar IPAs, pilsners or lagers; do cellar porters, stouts, saisons, barleywines and anything that has been barrel-aged.
Your comment reminded me of our visit to Full Circle Brewing back in February; none of the beer he pours (pictured) is less than 6 months old with one being from 2006 and another from 2009. This was just what he had on tap the night we went in there.
All of the beers pictured in the original post are great beers and none of them are hoppy . . . except maybe the Enjoy After 10.31.15 but only time will tell on that one. Stone used to be primarily hoppy stuff but they have been releasing a lot of stuff that the hops are barely noticeable. If you can give me an idea of a style you enjoy I should be able to direct you to something you would like.
Come to think of it, none of the beers pictured in the Full Circle flight were hoppy either; primarily because they were brewing before the "west coast IPA" style was conceived and he was not about to change his recipes for anyone.
That guy was probably the coolest, most knowledgeable beer person I have ever met.