From my understanding, Superman isn't the judge jury and executioner. He's just the guy who stands up for things he thinks are obviously right.
I've seen a few times when Superman will stop a person thehe thinks has committed a crime, but then, the person doesn't get convicted of anything, so Superman doesn't press the issue and lets whatever government make their own rules.
I also think that Superman is versed in American laws enough that he has the ability to fight obvious crimes (bank robberies, heists, etc) and knowledgable enough to know when his services aren't needed (corporate espionage, insider trading, etc.).