Nothing major, I blew up the engine on my previous one, but that's all really, apart from the odd flat tyre.
I have just retired this Volvo 340 and bought another 1986 Volvo 340 DL (my third) with 162000 miles on the clock, this one is in almost perfect condition, and hasn't got the wheel bearing rumble that was starting to develop in the old one. The old one was retired as it needed a new windscreen (chips and cracks in the old one from stones flung up), a new headlight (same reason) and the suspension dampers were getting spongey, apart from that the engine is perfect, but the body was a bit tatty (lack of care on my part).
As an addendum to my own review, my new(er) Volvo 340 has been running for a year now - no major faults - I've got this one up to 185,000 miles with only a replacement radiator hose to worry about.