I was visiting a customer site near Miami, some years ago. I opted for not renting a car, I could easily go to the customer's site by taxi. But then some components got stuck in customs, and I had to stay the weekend. It turned out that the hotel was its own enclave if you didn't have a car! I couldn't walk to the shopping mall, or a nearby restaurant, I tried everything. Just couldn't get there. It was like being in a Kafka novel. Nightmarish, and utterly unnecessary.
It is probably more than a few miles to get anywhere which makes what in EU would be a simple walk into an expedition.
Reminder: originally one (Roman) mile was a measure of thousand paces, while a Dutch, Russian and such miles were related to an hour of marching. (later rescaled in feet)
You definitely have areas that are not designed for walking at all. I've been in a situation where I could see a shopping mall and restaurants from my hotel across a busy multi-lane road and there was literally no way to get there on foot.
That said, it's not the US vs. everywhere else. For example, the UK has lots of charming little villages where you can walk to the pub and a few stores. Once you get out of the village though, some public footpaths notwithstanding, you're mostly talking very narrow roads with no shoulders, much less sidewalks, and no real way to walk off the road.
In Switzerland one of the things we'd learn in primary school age was to walk roads without sidewalks - always on the left side such that incoming cars are in front, and by paying lots of attention and walking in single file. Since cars expect at least cyclists anywhere they generally should be mindful of slow traffic.
I could see a shopping mall and restaurants from my hotel across a busy multi-lane road and there was literally no way to get there on foot.
This is almost exactly the situation described by Bill Bryson in I'm a Stranger Here Myself. I believe he wanted to visit the shops across the street while his wife was at a mall and there was effectively no way to get there without a car.
There were sidewalks, but only for a limited range around certain landmarks (malls, hotel, etc). I managed to cross an eight-lane street, but that section (with malls) was also closed off to the next 'island' (i.e. the sidewalk stopped. There were some car-only tunnels here and there also.) All those islands, and only cars could go between them. Yeah, quite similar to what poster @ghaff described in a post below.
That's just nuts. You'd think that there are at least state-level regulations to have sufficient sidewalks, car culture or not. I mean at some point it's a health and safety issue (when you can't even get to the doctor's office across the street).