I keep trying to start drinking down my cellar, but I always end up buying more beer that needs immediate attention. 
And I'm on the record as somebody who thinks that 99.999999% of the beers out there (including the ones that "experts" tell us should age well...) simply don't. The industry has made a lot of money by convincing beer geeks that oxidation is an acceptable thing. It ain't. 
I'll disagree on this. I think oxidation (some, not a ton) can work well with certain beers. Depends on style, of course, and I'm pretty much convinced the beer has to be bottle-conditioned but it can add another layer of flavor and/or make other flavors jump out. Just my opinion though.
I'm also convinced that most Belgian beers (excluding lambic and maybe Flanders Reds) don't age well. Most get too yeasty and, well, oxidized, which doesn't seem to work for me with their styles. Of course there are exceptions.
As far as my cellar goes, I just can't seem to crack some of the stuff I have. Thus, I started a local bottleshare group about a year ago on Facebook consisting mostly of beer industry people and customers. We meet about once per month, it helps me kill the cellar, spread the love and also try other beers I don't care enough to hunt down.
As far as adding to my home cellar (the store cellar is a different story), I pretty much only age lambics and some cool local releases like Barrel-Aged Alesmiths etc.