the 800cc is perhaps the least stressed of all the BMW engine, but the lack of grunt can leave you wanting a little more at the top end - my '93 R80GS will get to 160kph, eventually.
The earlier R80G/S was a monolever swinging arm with an driveshaft. It was replaced with the Paralever driveshaft, which cured the rise and fall effect of the earlier bikes.
Problems are alternator rotor - have a spare, HT coils, Valeo starter on the Paralever and the Paralever drive shaft. The driveshaft seems to be more of a 100, and lots of offroad issue, and is fixable. The OEM rear shock will need replaced at around 50,000km, as will the front disc.
The valves and guides may need replacing at 40/50,000 miles, as a precaution.
Everything else is a service issue including the fork seals.
Some people have a problem with the front brake, I don't but then I don't ride the bike hard and changing the fluid and bleeding the brakes once a year works wonders.
These bikes are owner friendly, if you're mechanically average, you can do your own servicing - get a set of balance gauges.
Others will add their tales of horror.