An example where it involves actual harm, related to freedom of speech.
In the US, defamation laws are particularly narrow, insulting people is generally legal, and "hate speech" is mostly legal too. And even though it is not physical harm, it is definitely harmful. But Americans accept the compromise because they value free speech a lot.
In most of Europe, it is different. Defamation laws are broader, sometimes including telling the truth if it is done in a misleading way. Insulting people, public servants in particular may also be illegal, even though it is rarely applied on a day to day basis, it can be in some contexts. And what constitutes punishable hate speech is much broader, Germany is notorious for this when it comes to Nazism.
As for actual bloody harm. In the US not only you are allowed to defend yourself in case of an agression, you are supposed to, and you are given the tools to do so (i.e. guns). In several state, you can shoot people trespassing, something that is seen as barbaric in most of Europe. Europe also has self defense laws, but they tend to be narrower, and you are generally not allowed to carry weapons.