Well, I'm not that bored (now). I do recall searching for domain names with the least letters at one point. All the single character names are gone, as are the 2-character ones (I think), and all but a few (obscure) 3-character ones (maybe)? This refers to .com, .net, and .org
The best small domain name I could find for myself was
www.uzet.net (which still has nothing on it)