So, I'm not sure how useful people will find it, but this was my attempt at coming up with efficient routes to tour all the publicly accessible parts of the game (e.g., sol, aragoth, sirius, etc; no newb sectors or pirate gates).
Before I go on I should note that these routes were created with the intention of a JE being the leader and having all the wormholes, though if you're only exploring a single system (e.g., aragoth, sol, capella) and not the whole universe, you may not need all the WHs. Also, any backtracking (which is minimal) will be explicitly listed (e.g., Primus, Tarsis, Primus,...).
The parts of the routes in square brackets ("[" & "]") indicate detours onto planets' surfaces, moons, or other little "dead-end" sectors that can be omitted if time is of the essence or if you're feeling lazy. Sector names in bold indicated that a WH was used to get there (e.g., Glory's Orbit, Carpenter, Shepard,...)
So without further ado, here's the routes:
(Example System): (Quick notes)
(First sector), (second sector), ..., (N-1 sector), (Nth sector)
Aragoth + Proxima Centauri + Alpha Centauri: (If you can get WH'd into VT to start, you don't need WHs to do this route. If I'm online (Look for "Treetops") and not too busy, I'll drop your group off in VT for free)
Valkyrie Twins, Fenris, Varen's Girdle, Aragoth Prime, Muspelheim, Odin's Belt, Odin Rex, Jotunheim, Ragnarok, Freya, Witberg, Zweihander, [Zweihander Planet]
Beta Hydri: (Needs the Carpenter WH to avoid lots of backtracking)
Carpenter, Glenn, Slayton, Glory's Orbit, Carpenter, Shepard, Grissom, [Grissom Planet, Grissom,] Cooper
Sol: (Sol is a tricky system to find a non-degenerate route for; Needs the ABB WH)
ABB, ABG, Mars, ABB, Venus, Mercury, Pluto/Charon, Akeron's Gate, Saturn, Uranus, Neptune, Jupiter, Saturn, ABA, Earth
Gallina: (No WH needed past Endriago)
Endriago, Endriago Planet, Risco Planet, Lagarto
Vega: (No WH needed past Endriago)
Endriago, Primus, Tarsis, [Primus, Primus Planet]
Altair: (No WH needed past Endriago)
Endriago, Altair III, Nostrand Vor, [Nostrand Vor Planet]
Capella + Castor + Antares: (Need Kailaasa WH to avoid lots of backtracking)
Kailaasa, Dahin, [Dahin Planet, Dahin,] Kitara's Veil, Vishao's Cove, Antares Frontier, Kailaasa, Yokan, Ishuan, Menorb
Tau Ceti + 61 Cygni: (No WH needed past Carpenter, or if you can meet in New Edinburgh)
Carpenter, New Edinburgh, Inverness, [Inverness Planet, Inverness,] Arduinne, [Arduinne Planet, Arduinne,] Inverness, Aganju
Sirius: (No WH needed past Swooping Eagle)
Swooping Eagle, [Swooping Eagle Planet, Swooping Eagle,] Xipe Totec