I doubt the difference in unemployment rate is much different in America than in Europe. The key is in the difference of the definition of unemployment.
In America unemployed people are those that receive unemployment. In Europe unemployed people are those that don't have a job.
There are millions Americans that don't have a job but don't receive unemployment for one reason or another. Those are not counted.
When we are told some country in Europe has a 30% unemployment rate, I doubt they all receive money from the government. If they did, they would not be so upset.