The credit score system is not arbitrary, it's a specific formula that applies equally to everyone.
>You get punished for just looking at it.
No you do not. There are hard inquiries and soft inquiries, and an individual viewing their own credit score is considered a soft inquiry which has absolutely no effect on your credit score.
As for Europe, there is no one homogeneous answer. Different parts of Europe handle credit differently. The UK and Germany are very similar to the U.S., whereas in France there is no concept of a credit rating or credit score.
With that said, generally the countries that do not have a credit scoring system are much harder to get a loan from.