Obviously you might get your car egged once - but you can get eggs anywhere.
If it's any help, my (admittedly very nice) corner of Bristol has a couple of honesty boxes for eggs and things about the place and I've never seen any trouble from it.
We get a lot of crime around here... The issue with an eggs honesty box is that it's likely to be a nuisance to the neighbourhood. If people are willing to smash windows, I doubt they'd think twice about throw some eggs around. In fact we got egged ourselves a couple of halloween's ago...
It used to be quite common to see usable household goods left outside a house for others to take.
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!