> taxi drivers would not take me to certain historical sites in the city because they were too dangerous. The "safe" section of the city was fairly small, with the rest of it overrun with harder drugs and crime.
I live in the Netherlands about 25 minutes south of Amsterdam, and there is no place in the Netherlands even remotely unsafe. The country as a whole is ranked either as the safest or second-safest country in the world, and Amsterdam in particular is ranked as one of the safest cities in the world. I have carried expensive scientific equipment through the "shadiest" parts of Amsterdam around 1am - typically the worst hour for crime - and did not feel unsafe for a minute [0].
Additionally, pretty much the only place in Amsterdam even remotely "unsafe" is the Slotermeer [1], to the far west of the city. There is pretty much nothing remotely historical there; if there are any tourists in the area it's because they are lost.
By the way, in 2015 Washington DC had 119 murders with a population of 658,000. Amsterdam had 15 murders with a population of 1.3 million. That's 18 murders per 100,000 in your home city vs barely one per 100,000 in Amsterdam.
Aside from the numbers, I have been in places that are legitimately unsafe, like the over-the-hill area in Nassau, Bahamas (neighborhoods with more than 90 murders per 100,000) or dangerous areas of Ukraine (where the police won't do anything unless you pay them.) There's a certain atmosphere of crime that you can feel, and Amsterdam does not have that at all.
[0] Funny enough, the only time I had a problem carrying the equipment was in the Charles de Gaulle airport, where I was harassed for about an hour by the supremely stupid airport screeners while they tried to figure out if it was a bomb. Meanwhile, they let two full bottles of water through. Security theater at its finest.
[1] https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Am...