I lived in the SF Bay Area for years, and I left in part because it was such a bad place to live, which to me does not seem like a very good showing. I now live in Copenhagen, and if you want to talk about results to show for an economy, Copenhagen is better in every way I can think of. It's just a nicer place to live. It has less poverty, lower crime, lower incarceration, better transit, better healthcare, sidewalks are not covered in human feces, homeless rate is massively lower, housing is more affordable, there is a more experimental startup culture, offices are more affordable, unemployment is low, etc.
I can believe that SF is richer numerically, but walking around Copenhagen subjectively feels like a much more economically successful city. SF's is a weird kind of segregated wealth: there are some very rich people, driving expensive cars and living in penthouses, but the area overall has a lot of poverty and a ton of social problems, and does not subjectively feel wealthy to me. If I have to worry about stepping in feces or being mugged, to me that is not a mark of a particularly successful economic system, or the mark of an area that is desirable to live in.
More accurately, there's little room for individualists in Denmark. The atmosphere of Jantelov is not very pleasant, and outsiders especially struggle to find their place within it.
I guess I'm not really attempting to integrate into Danish culture per se. I feel pretty comfortable with cosmopolitan Copenhagen culture, which is a bit different. Copenhagen is a really international city these days, and my group of friends is from a number of countries (Spanish, German, Greek, Polish, Italian, Swedish, Norwegian, Korean, Syrian, and yes, Danish). So unless we all become fluent enough in Danish to prefer it over English, we're going to speak English as a practical matter anyway. If you're in the central areas of the city, in my experience that's not uncommon— in a typical bar in Indre By, Vesterbro, or Nørrebro, the table next to you is almost as likely to be speaking English as Danish. It'd be nice to speak Danish too, just from a practical perspective I have little opportunity/need to.
I'd say about half of the cultural events are in English as well, so it doesn't even really feel like being in some kind of expat bubble. Especially anything to do with science or technology: game-dev meet-ups, hackathons, research talks at universities, etc. are mostly done in English. Looking at the talks at http://www.cphtalks.org/, for example (which admittedly leans towards academic talks), I count 50 talks in the coming week, of which 41 are in English and 9 are in Danish. Between that and having learned enough written Danish that I can read a newspaper ok, I feel reasonably connected.
I do think it's hard to meet Danish people, but once you know 1 or 2, it's easier to meet others. And Copenhagen is a great place to meet non-Danish people. I think I have honestly met more German people here than I would have if I were actually living in Germany.
Groceries wise, I'm still sort of 'there', but I live in the U.S. Just pop in for exams, I'm having difficulty finding housing. That actually might be a huge part of my dislike of the city; I'm sure if I lived near Norrebro, my experience would be a lot better. Commuting is never fun.
I guess the little things got to me though. I'm used to people generally having some degree of friendliness/politeness in public, which I found lacking in CPH. The cashiers at Netto would often not even acknowledge my presence. That was weird. Asking a random stranger for something like directions sometimes felt like you were committing a no-no. Maybe I'm just projecting, but the entire city's atmosphere felt mildly hostile/alien.
Consider how much time you spend using things created in the bay area: Google, Facebook, Apple, YouTube, Yahoo, Twitter, LinkedIn, Ebay, WordPress, Pintrest, Reddit, Instagram, Paypal... the list is too long to name everything.
The region is really really productive technically. There are lots of startups and some do really well. Skype (Swedes, Danes and Estonians), Spotify, Mojang (Minecraft), Dice (owned by EA; Battlefield etc), Massive, etc etc. Lots are in the game-making space.
There are lots of big companies too such as Ikea, Ericsson, Saab, etc etc. Names you recognize.
And Sweden is a really really big exporter of music; the third biggest exporter in the world, or something like that, which is not bad for a population about that of London.
Of course many want to move to the Valley and I know many who have. But having been over to visit a few times I'd much rather work remotely from my farm house deep in the Swedish countryside with my great broadband.