Not sure if this has been discussed before, but...
My players like the concept, but really hate the 'threshold loss because someone is fretting and giving the other characters a headache about it' thing.
Reading through one of the other adventures (I think it was 'Shadows of Dark Sun'?) they seem to tie Obligation into the plot a lot more. For example, the Bothan slicer is known as a notorious criminal, so some of the computer systems in the game have been upgraded against her signature style.
I suggested this to the players and they liked it a lot more. It will require a bit more thinking and planning, but it feels a lot more appropriate.
Reading the EoE book, Obligation seems to be handled a bit vaguely. The aforementioned (and hated) mechanic mentioned earlier aside, they seem to leave it to the GM as to how to add or remove it.
I like the idea that they can choose to pick it up by owing Favours or Debt to get more money for a quick fix they need... or taking on Responsibility when they meet new NPCs they want to protect. (For example, there's a gang of kids down at the spaceport called the Mynocks... After finding a stowaway moppet, the party as a whole feels inclined to make things better for them... which might even pay dividends later with the spaceport staff 'looking the other way' at certain times...)
I also want to do away with the 100 party limit thing and roll each PCs separately. If he has Responsibility to the droid liberation front and I roll it, then the adventure has someone mistreating droids in it. If a player has Criminal Obligation, and we roll it, the Imperials start hassling him. And if his Bounty is rolled, then actual Bounty Hunters turn up at an inopportune moment, rather than him just getting a headache and whining to the other PCs about it.
Anyone else use anything like this?