… I don't want to go quite as far as Jacques, maybe as far as Sag. A but not something so generic. Any ideas?
Jaques is closer than Sag A*.
My advice for the first exploration trip is to try to reach the neutron star fields that are around 1200 above the galactic plane (and below) and around 10,000 ly from SOL in the direction of Sol.
It's an interesting journey - the gap between the galactic arms, the increasing star density, the excitement of jumping into a neutron star system for the first time (remember to set your throttle to 0 on jump for that one).
A lot of things to see and learn and after reaching the neutron star fields you can farm a bit and get some credits and rank.
On your way you can make detours for tourist spots like nebulae or the few more interesting stars along the way.
Use the galaxy map to filter out uninteresting stars and use it to find things that interests you on the way (A type stars are nice to visit, there is a high chance to find one that has suns as planets - or what that O types?). You get the idea…
Remember to bring a SRV and land on some nice looking moon or planet (moons are better as the view is usually nicer) and relax a bit.
Don't rush it and plan your trip with enough time and then add about double of it
