I myself is in a similar situation. Here is a few medium/long/very long terms goals that is on my bucket list.

• Visit historical sites like the voyager probes in Sol or Jameson crash site on HIP 12099 1 B
• Go to hard to reach places just for the bragging right of it. Like Rackham's Peak in HIP 58832 or Hutton Orbital in Alpha Centauri (warning, Hutton Orbital is even farther than Lunan Holdings).
• While you are at Hutton Orbital, grab a few mugs and gins and participate in the 2 Hot 2 Messy event and get a chance to win a real Hutton mug.
• Participate in an Expedition.
• Learn how the Background simulation work and participate in it to help your favourite faction.
• Help repeal the Thargoids by combating them, help evacuate stations in system at risk of been invaded, help rebuild stations after a system repealed the Thargoids. For the Last one, check Operation Ida.
• Enter a buckyball race and win it.
• Train to become a member of the Fuel rats or Hull Seals and help fellow Commanders.
• Go exploring and try to find everything from the codex.