My family gets several Amazon packages every week and I don't think we've received a single counterfeit or gray market item. We have had other problems with our orders but Amazon has always fixed the problem very quickly.

Some problems they seem unable to fix. I have a Nespresso machine and a few times now I've ordered a decaff selection and every single time they send me the caffeinated version of whatever I order. I call them and they refund the order. They've probably sent 16 sleeves of coffee for free (worth around $150) and have never sent the product I've actually ordered. It feels a little wrong to take advantage of their incompetence like this, but hey, free coffee!