All third party tools have the same weakness as EDSM: if players using the tool haven't visited the system, there's no way the third party software can know system exists.
EDSM will, however, give a comprehensive list of all stars within 200 LY of Sol. These will all have been visited by EDSM-using players, multiple times. If you go to EDSM and request an advanced search, choose Sol as the reference system, change the default "only show populated" to "show all", and select the radius to 200 LY, you'll get
this list of 56,631 star systems, sorted by distance from Sol.