You seem to be showing a little more interest in the 16-85 than the other lenses mentioned. I own the D7000 and use both the 16-85 and 24-120 f/4 (see my equipment profile for other lenses). I haven't been to a European city in decades, but in the eighties I lived in Germany for three years and spent time in Turkey and Italy. I then had my trusty 35mm Canon AE-1 Program with a single 50mm lens.
In the United States where the cities are not as "tight" and there is a lot of open countryside the 24-120 f/4 is my favorite lens for about 80-percent of my shooting. I have tried on several occasions to convince myself to sell the 16-85, but I can't do it . It is just too good of a lens - very versatile.
For situations like you describe, i.e. European Cities or similar, close to moderate landscapes, and where you don't want the inconvenience, or to delay others by changing lenses the 16-85 is excellent. The 16-23mm at the wide-end that is missing on the 24-120 f/4 is very useful on a DX DSLR and 85mm will be long enough for the majority of situations.
My 24-120 f/4 has slightly more contrast and sharpness, but not enough to outweigh the overall usefulness and performace of the 16-85 when in the situations you describe. I had a 18-200 and the 16-85 is noticeably better optically. The 16-85 may not be as sharp or fast as a professional constant aperture lens, but it sure is a lot less expensive, less cumbersome, and has very good optics while being extremely versatile.