Farscape
John Crichton - Human Technomancer (Ace Pilot/Scholar) -
"John Crichton. Astronaut."
John starts as a pilot, but his piloting was to test his own theories, so I'd lean more towards Scholar then Pilot. Considering his work with Wormholes (which is clearly not just based on technology), I'd put him down as a Technomancer over Mechanic.
Aeryn Sun - Peacekeeper Soldier (Ace Pilot) w/ Sharpshooter fighting style -
"But shooting makes me feel better."
Aeryn is a peacekeeper officer, an ace pilot, and a combat expert. She is just as happy with a heavy weapon as she is with a pistol, and she's been doing it all her life (literally trained from birth to do it).
Ka D'Argo - Luxan Soldier (Bounty Hunter? Mercenary?) w/ Blitz fighting style -
"Fear accompanies the possibility of death. Calm shepherds its certainty."
D'Argo is the archetype of Luxan warriors. Hit hard, hit fast, rely on his Qualta Blade to carry him through. I was tempted to give him the Arcane Assailant Fighting Style, but felt that Blitz more accurately showed how he fought, regardless of his focus on his ancestral weapon.
Pa'u Zotoh Zhaan - Delvian Mystic (Priest) w/either Healer or Mindbreaker connection -
"Well, even among my people, I was something of an anarchist. Actually, I was the leading anarchist."
Zhaan was pretty easy - she's a mystic, she's a priest. Over the show she showed she could use her powers to heal or harm, which was a central theme of her character.
Dominar Rygel XVI - Hynerian Envoy (Outlaw) -
"I am Rygel the XVI, Dominar to over 600 billion subjects. I don't need to talk to you!"
Rygel is a charming, irritating, egotistical little sociopath. Somehow he was able to both make things better or worse simply by opening his mouth (the times he wasn't stuffing food into it). I went with Outlaw over Thief because he was often shown negotiating black market deals.
Chiana - Nebari Operative (Outlaw) w/ Daredevil or Thief specialization -
"Let's screw the pooch. I'm all about fun."
Chiana was pretty clearly a thief, but she also had plenty of hyper acrobatic moments. She spent a lot of time playing people, and her preferred method of dealing with people was always social.
Stark - Stykera Mystic (Priest) w/ Healer connection -
"Let me help you to the other side."
Bialar Crais - Peacekeeper Soldier (Mercenary) w/ Sharpshooter fighting style (?) -
"I live, I plan, I do all in the service of my own interests. In that I believe I am not unique in the universe."
Crais was a starship commander, but also a peacekeeper, which means he was raised since birth as a soldier.
Scorpius - Sebacean/Scarran Technomancer (Scholar) - An argument could be made for Mechanic with Exocortex -
"I long ago learned the advantages of patience."
Scorpius builds several unique devices over the course of the show, starting with the Aurora Chair. Although his motivations were military in nature, he chose to handle them through science and inventions - his goal was to win the arms race his people were engaged in.