Not quite honesty boxes, but Bristol has a good culture of "tat".

It used to be quite common to see usable household goods left outside a house for others to take.

As opposed to the story about the person who leaves their unwanted furniture outside with a sign reading "Free- Please Take". It sits there undisturbed for a week.

Then they replace the sign with one that reads "$10- put cash in letterbox"

Within an hour, the furniture is gone, though of course there's no cash!

I guess it's very location-dependent. I live a ways off a pretty busy exurban road in MA and if I leave somewhat useable stuff at the end of my driveway with a free sign it will probably be gone withing a few hours.