Do you have those don't walk signs at busy intersections? If you do, what happens if someone violates it?
Side note, jaywalking applies pretty much everywhere there isn't a marked or unmarked crosswalk. Its just that they're almost never enforced in residential streets for because there isn't much reason to. I know a guy who was ticketed twice in 2 months for jaywalking in Oakland CA. Clearly just the Popo raising funds.
According to Wiki, you are somewhat mistaken in your understanding of the laws in Europe as it is illegal in some countries depending on the road in question in others.
It seems lots of places have rules to the effect of "you must cross at the zebra crossing if you are with in XXmeters of one."