I've traced some of my family in the US as far back as 1800. In fact, some of my relatives were among the first settlers in Ohio. A few settled in Guernsey County, then moved all their relatives from Guernsey Island of the Channel Islands to Guernsey County, Ohio.As Cristo pointed out, we are a young nation. As a result, classically speaking, less the so-called native Americans, we are all immigrants, or nearly so. The oldest families, which represent a very small sample of the population, go back, what, maybe 500 years. In my case, I am a Finnish-Swedish-German-English-Polish-Native American. [There are actually a couple more small influences in there but I can't remember them at the moment... there is also a bit of Swiss, from the German side]
Most of my relatives came over some time in the 1800's from Denmark, Germany, and Switzerland. I have some French relatives in there, but I've never been able to trace them back past the 1800's to find out when they first came over.
Looking through my family history, it isn't very common for people to die in the same town they were born in. And my family tries to keep up the tradition. With seven kids in our family, at one time each of us lived in a different state. And I've spent about equal times living in Kansas, Ohio, Nebraska, and Colorado, with a year in Alaska tossed in for good measure.