This should pretty much cover it:
Mission 1: Vela to Sol
Discovered the slave-shielded Earth, Starbase and Ur-Quan Drone.
Met Commander Hayes, went to Mercury for radioactives, came back, found Moon Base, came back again and met Ilwrath, learned about Pkunk, blew up uncloaked Avenger.
Outfitted Vindicator and listened to a history lesson from Hayes.
Mission 2: Explored and mined most of Sol
Mission 3: Finished Sol & met Fwiffo
Learned about Spathiwa and a subtle reference to Delta Lyncis.
Hayes reported about Rigel upon return to base.
Mission 4: Explored and mined the surrounding stars and met my first of many Probes.
Hayes reported about Melnorme in Alpha Centauri when we returned to base.
Mission 5: Met the Melnorme in Alpha Centauri and mined the Centauri region
Mission 6: Met Pkunk
Did some business with Melnorme and met the Pkunk.
Went to Gamma Krueger and received the Clear Spindle and 4 Pkunk ships.
Mission 7: Met Tanaka
Explored and mined Ptolemae and Gorno.
Met Tanaka, insult/retreat/rinse/repeat, convinced him we were friends, learned about Zeta Sextantis rainbow world and possible Mycon device at Beta Brahe.
Learned all possible info from Melnorme, and bought more tech.
Mission 8: Met ZFP, ZEX, the Orz, Talana & the Spathi
Went to Rigel and met the ZFP, who told us to go to their homeworld in Alpha Tucanae.
Went to Vela and found it to be slave-shielded, and guarded by an Ur-Quan Dreadnought, which we destroyed.
Went to Alpha Cerenkov and met Admiral ZEX and learned about the Shofixti females in his possession.
Met other VUX and experimented with learning all possible dialogue.
Studied the maps and made a possible connection between the creature ZEX wants and Delta Lyncis, but it remains unconfirmed so far.
Met the Orz, made an alliance with them and found the Taalo Shield along with the Androsynth's destroyed homeworld.
Discovered the Pkunk had begun their first migration.
Went to Betelgeuse and met Talana.
Went to Epsilon Gruis and met some Spathi along the way.
Met with the Spathi High Council and removed all of the Evil Ones from their homeworld, and then made an alliance with the Spathi.
We stopped off at Alpha Illuminati and purchased all remaining tech and info from the Melnorme, and then we returned home.
Mission 9: Ilwrath, Yehat & Mycon...oh my!
Went to Procyon and found the Chenjesu/Mmrnmhrm slave-shielded world and their orbital platform, and we had to battle the Ilwrath.
Convinced the Pkunk to turn around, and then we went to Yehat space, but couldn't accomplish much with them.
Found the rainbow world in Zeta Sextantis, and after exploring more of VUX space for awhile, we headed into Mycon space.
Met the Mycon, didn't learn much from them, and found a ton of Mycon Podships orbiting Epsilon Scorpii I and Beta Brahe I.
Explored the Mycon region very thoroughly and eventually found 3 Egg Cases (Beta Copernicus, Gamma Scorpii & Gamma Brahe) and another rainbow world in Gamma Kepler, but also discovered the Spathi's SOI had disappeared.
Showed Talana the egg cases and she agreed to help us if we could find their Syreen ships in a vault.
Began the search, and started by going towards Epsilon Gruis, where we discovered the Spathi had slave-shielded themselves and left us the Umgah Caster on their moon.
Went to Alpha Tucanae and made an alliance with the ZFP, who told us about a door in Epsilon Camelopardalis, so we tried to go there, but ran into Ur-Quan Kzer-Za and Kohr-Ah, so we found the secret vault is in Epsilon Camelopardalis, but because of fuel constraints and too many UQ, had to use the time portal to reset.
Discovered the Pkunk had begun their second migration.
Mission 10: Pkunk Cryogenics Experiment - present