Short answer: Yes, such neighbors exist. Long answer:
I have great neighbors, but we don't hang out together. They're quiet, pleasant, keep their houses and yards looking nice, and more.
After Katrina, when scary looters were roaming the neighborhood, the guy across the street and over one sat in his carport with a shotgun on his lap during most of the days and evenings, standing guard on our part of the block. He's an old guy with a Purple Heart and quite a hero IMO. That was such a kind thing for him to do.
Around that same time when I started cleaning the storm debris from the yard across the street from me (which was for sale, and the owners had moved), other neighbors came out and joined me in that effort and one even used a leaf blower on the street after we got the street cleaned up.
The young Cajun girl next door looks after my house when I'm gone.
About half of my neighbors are the original owners of their 1970's houses, or else their parents were. These are mostly some Cajuns and their relatives who originally inhabited the neighborhood back then. I don't know if they knew each other before they moved in, but they sure do by now after 40+ years. We don't have organized block parties, but on some holidays or Saints' game days there are parties in the street after dark. In typical INTJ fashion, I don't attend but I could.
After Hurricane Isaac, when my front double doors blew open while I was evacuated to Alabama, one of my neighbors noticed and thought somebody had broken in. He called at least one other neighbor about it, and one of them went over to my house in the rain, checked everything out, and locked it up again to keep any more rain from blowing in. Then they called me on my cell phone in Alabama to tell me what had happened and APOLOGIZED for going into my house!!! Wow, I told them I was so grateful that they did.
Honestly I couldn't ask for better neighbors even though most of the time we just nod or wave to one another. We don't go over to each others' houses or bake one another apple pies like in television's Mayberry, and no bluebirds, but they are quiet and considerate for the most part and very, very good people. If I find my dream house and move, I'll miss my neighbors a lot.
I notice from your profile that you live in New England, and I live in the South. I wonder if that explains the difference in our neighbors.