Sure it has a couple of dodgy areas, but I lived in Sodermalm and Kungsholmen and never felt unsafe around those, I moved from Brazil and my hometown gets as many robberies reports in a day as Stockholm gets a year.
I can understand some people might be targeted for these status items but I never had any issues moving around even with an expensive laptop, phone, headphones with me, taking the public transport every day.
If someone tells me that Östermalm is now a place where people rob you more easily than 10 years ago, then I have enough of a feeling how the social landscape changed. In Stockholm, I've experienced a couple of crime-ish situations in those 2 months that I didn't experience to such a frequent or great extent in Amsterdam (where I live).
In short: it might be that things in Stockholm have gotten a bit more sour.
It’s an isolated anecdote of which there are tens of millions of others just like it in the cities you mentioned. Crime stats should be based on up to the minute evidence not anecdotes.
I dislike reading anecdotes as evidence as well. However, sometimes I personally simply feel free enough to express myself on HN and don't think any further than that. In most cases, this is fine, but in some cases I become part of the problem (posting anecdotes that are interpreted as "evidence").
So I'm happy you posted your reaction as I feel it's the reason why I've been downvoted a couple of times as well. Upon rereading my comment, I agree with your comment. I'll try to finetune my behavior accordingly.
Less safe than say Oslo, Amsterdam, Edinburgh or Copenhagen.
Basically in the middle among major European cities.
Compared to the US it is much safer than Chicago, Detroit or Atlanta and less safe than for example Denver or Boston.