Add me to the list with the vibration at 65 mph.
(I may have some of the other issues as well--but have been too mesmerized by the highway vibration to really focus on the others.) Based on what I've read here, I don't think mine is quite as bad as some. But it's so subtle and constant at about 60 to 75 mph that it absolutely drives me nuts! Especially if I'm alone in the truck!
On February 28, 2014, I bought a 2014 Silverado CC Z71 LTZ Short Box, 5.3, 3.08 rear axle, leather, has the 'jumpseat'/front center console, 18" aluminum wheels with the Goodyears.
I test drove 3-4 configurations over the month of February while looking for the set up that I wanted--which the dealer happened to get just before the end of the month. I don't think I ever exceeded 65 during any test drive. The first time I drove the unit I bought was off the lot and home--didn't think I'd need to test a new truck with a $48k sticker price. Live and learn.
Noticed the rhythmic, hypnotic vibration immediately after I got on the highway for the first time (took the truck on a 200-mile round-trip drive.) At first I thought it might be the road, but it's not. It's constant on any road at speeds from 62-75; and at various other times and speeds. (I have felt other clunks and 'misses', etc., at slower speeds--which I'd attribute to the transmission and the auto-cylinder-switching system. But like I said--I've usually been so fixated on the annoying vibration that I can't focus on anything else.
Stopped in and had the Service Manager drive it--he felt it; he immediately said it was probably the tires; and didn't mention knowing about problems with any other trucks. Made an appointment for later and their shop swapped out the tires/wheels from another one on the lot--and decided one of my tires was out of balance. They 'fixed' it, declared it good, and off I went.
It didn't take too long to figure out it was still there.
Went to the dealership a few times to make arrangements for a lease return. Mentioned the vibration to the dealership's General Manager, the fact that it wasn't solved. (Also that the MyLink screen didn't come one time when I started the truck--but I figured that was a software issue that would be solved with future updates.)
At some point shortly thereafter, I ran into a buddy that got a similar truck and had had it for about a week. His company leases it for him, along with 5-8 others for coworkers. I told him I might be having buyer's remorse. He immediately began telling me about the vibration--especially in his truck, but also in all the others. They all had 10k or 12K or more miles on them and they all vibrate he said. He also said they all have wind noise to the point that his guys were trying to stuff towels, etc., into the doors to get it to stop.
Returned to the dealership on March 25th to return the leased car. Finance Guy that processed the return was very busy and I had to wait awhile. Ended up talking to the salesman that sold me the truck for a long time. Was vehement in telling him all I 'learned' about the all-new Silverado--what I found in these forums, and what my buddy had told me about all their trucks.
There happened to be a Corporate Chevy guy at the dealership. While I was there, I was on and off the phone and the salesman must've asked a service guy if he knew anything. Service Guy came up and talked to me and told me that he had gone back and asked the specific tech that did the work about it; he also said he mentioned it to Corporate Guy. He was telling me the tech said balancing the tire "made it better," but something was still there. Corporate Guy approached us but never said anything to me--not hello, or anything about the issue with the truck. Corporate Guy said something to Service Guy and jumped in a 2015 Tahoe and took off. I don't remember what he said because I was irked that the service dept. would send me off telling me it was okay when they knew it wasn't. Fortunately (maybe) the salesman also mentioned to me that "better" was not good enough.
Anyway--before I left, I told the salesman (who did seem genuinely concerned) that I wasn't about to leave a brand-new truck at the dealership for them to guess at and tinker with. They could do some legwork--but I'm driving it until they know more.
That's my story and I'm sticking to it.