France deals with statistics like this on a national basis. The US lets the states handle most of it, and I think that therefore reported statistics are closer to reality in France than in the US.
China is not a society of individualists. When not at war,, China is a fairly orderly place.
In Japan, the police actually try rather hard to find stolen goods and return them to their owners. No one even tries in the US, so far as I know. Your only report thefts so you can collect insurance, unless it is a vast fortune or a collection or something like that.
The Bahamas have very strict laws, which they are quite poor at enforcing, from what I hear. They will respond much better to a theft from a tourist than from a fellow Bahamian.
People worry about crime more as a result of what they see on TV than reality. In recent years, the crime rate has gone down for most crimes, but on TV shows, it has gone up. Crime shows are essentially conservative: the plot nearly always follows the pattern in which the status quo is interrupted by crime, and the police catch the bad guy and lock him up, and the status quo is restored. They rarely deal with polluters and other corporate crimes. I have never seen a TV show in which anyone organizes a union and anything good happens, like job safety being improved, overtime being paid, or people getting a raise. Unions rarely appear on TV and when they do, they are controlled by Mafiosos and gangsters, which is contrary to reality.