The only reason I gave up my Honda Accord was that I almost literally drove it into the ground. I sold it to an auto mechanic who wanted to tinker with it, and as with my Mitsubishi, I withheld nothing about its condition. It had 269K miles on it, and I loved that V-6 engine, but now Hondas are too rich for my blood.
It finally gave up on the mechanic as well.
They sure as heck don't make Accord's like they used to. My first car was a '93 Accord LX and I drove that thing for about 5-6 years. When I finally gave up on it (the frame was rusting out), it had 325k miles on it, zero engine problems. And I was a kid, so I did not take care of the car and would neglect oil changes, so that's a testament to those engines.
The 3.5L V6 that's in pretty much every Honda from the Ridgeline to the Accord around 2010 is pretty good. I have a 2010 Pilot and it runs really well with 185k, especially once you shut off the VCM with a work-around dongle. That said, I think it needs new cams, it's been pretty noisy lately. The only real widespread problems they seem to have are with the piston rings going bad and they need valve adjustments every 150k or so. I can't speak for anything recent though. But, given all of the electronics and emissions garbage they have to put in these cars for fuel economy, I'm sure they won't last as long (I'm looking at you Earth Dreams)