The number of parking spots isn't for the barber, it's so that the customers don't park their cars in the spots of the residents or other users of the area! We in 'Europe' have exactly those rules (and then some). And we need them, because these old, not-planned looking cities lack space for everything that didn't exist 500 years ago, obvious things like cars but also 100's of people per building (few residential building were higher than 3 stories 300 years ago) and even bicycles (which already increase the travel range and thus centralization viability for core infrastructure like shops).
No, you don't. Your city would look very, very different if you had parking minimums like in the US.
A parking spot is about 30 square meters. 300 square feet. My house is on a footprint of 900 square feet. When you add driveway length, you can see that my driveway takes up almost as much land as my house, and for homes with more than one parking spot in my area, it can take up more than the house.
For businesses, it's even worse. Look at a satellite image of any American suburban area, and start coloring in the parking spots, and you'll be appalled at how much space is taken up by these things.
I'm not saying we require the same amount of parking, just that we have the same type of rules. Just like your areas that already have higher density don't require the same number of parking spots as those in suburban and mall-style developments.
Look, I know about the problems with car-centric development (I've been a researcher on (urban) land use for over 15 years now). What I'm saying is that the argument the GP tried to make, how Europe is an example of better solutions with less regulations, is wrong. (A) because we don't have better solutions (just different outcomes, the jury's out on whether it's 'better') and (B) because we have just as much regulation.
Those are generally driveways in the US, and are private property: you park your car there, it'll get towed in short order.
Parking minimums are not a thing in large areas of Italy, where I lived. I once lived in an apartment downtown and there was no parking spot included: we walked 20 minutes to a place where we could park. If we had wanted to pay something, we probably could have found a spot that was closer. This is the market at work: we were not forced to pay for parking we didn't really need (we used the car rarely at that point in our lives).
So how many people came by car to the shops at ground level from where you lived? You're not making a case for less regulation, your making a case for more private ownership of space. Which is fine (although it does reduce overall efficiency, so there are limits to the circumstances in which it can work), but it doesn't say anything about how much or little regulation is 'required' or 'reasonable' (nor about the relative amount between the US and 'Europe', which is what this (sub)argument is about).
I mean, you'll have to agree with me that if you're holding up Italy of all places as an example where few regulations (and/or lax enforcement) lead to good outcomes, you're really stretching the criteria of what can be considered 'good outcomes'...