Jump beacons could be situated near stations or other points of interest. These could link to a ship and provide an anchor point for some form of accelerated supercruise or in-system hyperspace jump. The idea is that a pilot would jump to the main star, and then select the desired beacon and jump to that (or fast supercruise).
There would be a beacon limit per ship (better ships = more active links), and pilots would have to travel to the beacon via normal methods to register the initial link, but travel times to that location for future visits would drastically reduce.
Non-piloted transport from Apex and Frontline would be pre-registered to their chosen locations, since they probably do those routes repeatedly - travel times would be trivial for those services. This would get rid of the log wait doing nothing for on-foot players.
Pirates might be a problem if they camp at the beacons, but security patrols could take care of that problem if the system security level was sufficiently high. Also, a clean record could be required to register your ship at a beacon.
If EVA ever becomes a thing, then beacons could be damaged by player activity, and repair missions could be a thing - probably requiring a wing or a strong ship to take out the saboteurs and stand guard whilst the repair was carried out.