Fringe

Central Pieces
These are higher costing pieces you build a squad around:
Celeste Morne - the biggest fringe Jedi beatstick out there - she can put out 90 damage a round with Triple and Jedi Hunter, and can also turn pieces into Rakghouls with Sith Alchemy 2
Atris - boosts up Echani Handmaidens into very good shooters, and her Force Meditation can swing the balance of a battle while it's on. Often used in Imperials, like this squad: http://www.bloomilk.com/Squad/103235/atriss-empire
Tyber Zann - a deadly support shooter in Imperials with Imperial Governor Tarkin, can mess up an opponent's Lobot reinforcements with Bribery, and boosts up some other good new Zann Consortium pieces. Used in this Regional winning squad: http://www.bloomilk.com/Squad/117511/-weir-thering-the-storm--pa-regional-winner

Support Pieces
All of these are under 20 points, and can be bought in with Lobot's Reinforcements, although some can be easily used in a base squad.
Salacious Crumb - Distraction, which is like a range 1 Disruptive, is really handy on a little 5 point piece -you can use him for defence against a twinning Lancer.
Figrin D'an - also has Distraction, plus Draw Fire and Evade
Momaw Nadon - War Throat does 10 damage to everyone within 6 squares, good for clearing out Mouse Droid or Camaasi Noble walls.
Dr. Evazan, Galactic Criminal - his Homocidal Surgery has already been part of a Regional winning squad (http://www.bloomilk.com/Squad/116588/gowk-mace-w--galactic-criminals), and he can do 30 auto-damage to any piece.
Ponda Baba, Galactic Criminal - 60 hit point Bodyguard for 15 points - he's also a good shooter.
Greedo, Bounty Hunter - useful backup shooter with Snare Rifle and Cunning +20

Also of note: the Klatooinian Captain boosts the previously redundant Pilot ability, giving Pilots Speed 8 and Evade. This opens up some interesting new swarm builds like the Naboo Pilots in the Republic.