It's not the same. Rural areas in Europe (and mostly anywhere else, for that matter; this is not about Euro-exceptionalism) are not 100% residential urban sprawl like the typical U.S. suburb. They have locally densified villages and towns, each with a self-sustaining mix of housing and local business. That's what a sensible model looks like.
The US doesn't keep local businesses the way Europe does.
Corporations with local branches is about as close as we get.
A small rural CVS next to a small rural Texaco next to a small rural Dennys is a rural town economy.
Dollar Store not CVS. Dennys will be locally owned and not a Dennys diner. Might be the town bar though. May not be a Texaco, that will depend on where you live. There are some rural chain gas stations like Caseys though (great pizza). Your gas station might sell bait too. Maybe.