I'll chime in now that the book has been closed on my 3.8. I had a '13 Genesis Coupe 3.8 that had unresolved vibration issues over the course of a year of ownership. The tires, wheels and finally driveshaft were all replaced to no avail. Finally they gave me a set of Michelin Pilot Super Sports for free and said they'd done all they could. Those tires were great, but the vibration never went away completely.
Then the '15 Genesis sedan came out and I got one of the first cars the dealer received. Surely, I thought, this all new car would have worked out any issues from the old cars. It was a 3.8 RWD and I loved it right up until I felt that familiar shake. The dealer couldn't believe it, after everything the coupe had put me through, so it went back with instructions to not call me until it rode smooth. They replaced the tires, then the wheels, then the tires again and who knows what else since they went silent for a while before finally calling to report that at last the problem had been solved.
I excitedly picked up my car and held my breath as it accelerated onto the highway. By this point I was probably hyper sensitive but there it was, an ever so slight vibration in the steering
wheel. It was far less pronounced but they'd still failed to solve it completely.
The car went on to have several other problems until the dealer put me into a 5.0 at a lower cost. The 5.0 is fantastic. It had the new Continental tires from the start, and while it does have some flat spotting vibration it typically goes away after a few minutes.
After living a year and a half with the first one I've come to these conclusions. There are at least three causes of vibration on the 3.8.
1) Bad wheels and/or tires. This is backed up by the fact that they replaced tires for free and many people have the initial flat spotting problem.
2) Poor quality drivetrain. This is a hunch, but I feel that there is a weak point somewhere that hard driving exacerbates. Maybe it's the driveshaft or something else but after months of spirited driving the highway vibration worsened again on my 3.8. My guess is that the cars can't hold up to aggressive driving over time.
3) Vibration at idle. I saw some mentions of this in the thread and it was also something I experienced. The V6 seems to be very rough at idle (for a luxury V6). The a/c makes it worse. Sitting at a light, uneven vibrations could be felt throughout the car, worse than anything I've ever felt in a 4cyl Sonata.
So far the 5.0 has been everything the 3.8 wasn't. Silky smooth, effortless, luxurious. Hopefully it'll hold up. I went through months of return trips to the dealer for various issues so feel free to ask about anything, maybe I've already dealt with it.