I bought a 1979 CB750K four years ago, with 9,600 miles on it (21,600 miles currently). It looked maybe a year old. Since then, I have done fluid changes throughout; replaced the plugs with iridium's -- startled me the first time I started it with these, as it was running almost instantly, instead of the usual grinding required to get it to fire; had the valve shims gone through, one needed replacing (at 15,000); installed a thermostatically controlled oil cooler with a spin-on oil filter adapter; added both a voltmeter, and an oil temperature gauge; added floor boards for the passenger; added soft saddlebags with brackets; added Vetter Lowers (came with a Vindicator fairing); replaced the suspension, front and back, with Progressive fork springs and 412 Shocks with Heavy Duty Springs (rides like a modern bike...).
My wife and I rode it two-up last year, 1,935 miles around Lake Superior, with a heavy load of luggage. The only mechanical failure we had on that entire trip, was that the throttle grip came off in Thunderbay, Ontario, on day 2 of 9: borrowed some grip glue from the local Harley shop, and we were back on the road in 30 minutes. We love this bike! I planned to keep riding it for years to come, but we found a 1993 Kawasaki Voyager XII touring bike. Now our beloved 750 is up for sale (SE Minnesota).
I've gone through my bike, replaced all of the fluids, the plugs, wheel bearings, and the tires. I would ride my 750 anywhere, two up, fully loaded, without hesitation. It is remarkably reliable, an absolute blast to ride, and it is one of the prettiest bike's I've ever seen. It just is not a dedicated touring machine like the Voyager, which has more room, greater comfort, and more storage space. If you want a fantastic motorcycle, reliable, and oh-so-fun-to-ride, the Honda CB750K's are an excellent choice, regardless of age, as long as they are in good condition.
With regards to shops not working on them, that has never been a problem for me. I go to a shop which doesn't owe its soul to any brand -- they fix them all, old and new. Parts are available from sources like BikeBandit.com, and others. If I wanted to replace the factory 4-into-4 exhaust system with OEM, it is still available from Honda... For a cool $1,800 + installation!
If you find one you like, look it over carefully, try it out, and if satisfied, buy it! They are a fantastic bike. You might be able to pick up a good one for less than $2,000, depending on your local market. I'm asking $1,800 for mine, which needs nothing, at present. Prices on used bikes from the 70's-90's are a little crazy right now, as there is a number of people wanting bikes from these periods.
If you have the cash, Kawasaki is coming out with a retro 750, the W800 (
http://www.kawasaki.eu/W800). It is beautiful, but spendy: around $8,000. Not sure if it will be released in the USA, either... It is a Inline-Twin, with fuel injection, but it has spoked rims, knee pads on the tank, and a drum brake on the rear. It is perrr-ty, but spendy. Cheers!
1979 CB750K (sold, 2012, but not forgotten)
1983 Kawasaki 440 LTD Belt Drive (sold, 2011)
1993 Kawasaki Voyager XII