Absolutely nowhere in Europe will you experience that with that frequency yet, even though it's getting worse. Rough areas? Many. The weird guy here and there in the Subway, off course - but almost each and every time you drive in the subway - hard no! I lived in london for a few years and never really encountered any totally strung out people with their pants down, i did multiple times in NY in those 3 weeks.
Also off course i'm not talking about Williamsburg, a good example was going just north of the richest areas in Upper East side into Harlem, and wow what a contrast.