You can download the OpenStreetMap (OSM) data as svg files. Alternatively you can also download the raw data and generate a vector image if you need more control.
There are many ways to do this, of different complexities and some of them are quite convoluted. However the simplest is to just click on the share icon in OSM web interface and download a section as PDF or SVG. Note that the SVG that OSM produces by default is optimized for inkscape and does not work well in illustrator for example but the postscript is OK, although its not very well organized for editing. But ist possible to regenerate the map in a more illustrator friendly SVG, read the docs.