I bought my Hondamatic in 1995 with 6000 miles on it. It had not been ridden for quite a while and was kept inside, but that was about it. The front brakes needed the caliper rebuilt, carbs had to be gone through, tires and tubes were junk, battery was shot, and the chain was stiff. Eventually the fork seals started to leak, but switching to ATF stopped the leak. I did lube the hell out of everything that moved and didn't have too many problems. Although the dreaded SOHC oil weeping started a couple of thousand miles later. I felt that was a little premature based on mileage and age was the culprit. Somewhere around 10,000+ I found myself replacing rear wheel bearings. I found the grease had dryed out, which led to bearing failure.
A low mile bake has some great advantages, but it also has it's problems. One good thing is, it is not worn out and with a few minor repairs you essentially have anew bike.