I didn't see this thread until after I went to the dealer today for this exact problem.
I noticed mine from the sound way more than from a vibration, though. Not many of you are mentioning a sound...only the vibration. I think my car sounds like crap in the 1000-2000rpm range when slightly pressing on the gas pedal. It is a shuddering sound you definitely don't want to hear from a new car. When I press harder on the pedal it's not there and when I completely let up it's not there.
So.....at the dealer. I drove it around the parking lot with a mechanic to replicate the sound. He heard it and said "we'll see what we can do to fix it". I waited about 30 minutes or so. Manager came back with a GM "Bulletin" and said it concerned the fuel pump and injectors. The Bulletin he gave me is #07-06-04-025F. It is two pages. He told me it is normal and that there is nothing for them to do.
I just said......"Oh, okay. I'll go look it up".

I was kind of stunned that my car had to sound like this and I didn't really know what to say.
When they called me to the cashier's desk to get my keys the lady asked me; "So, how do you like your Camaro?" I said "I liked it a lot until now"..."it sounds like a diesel!" She said, "Oh, that's a good sound." I said "No, this isn't the "good" sound". Anyway, I wasn't rude, just dumbfounded.
I drove home livid

....and now I find this thread. At least now I know my car isn't the only one doing this (or something similar).
Now we just need to find something to do about it.