There is a Star Wars d6 ruleset out there.The good/bad idea is cool. What about taking it a step further, like in a Star Wars game or D&D, in which there's a strong good/evil divide?
Harsh (but it also sounds like an excuse to limit extreme rolls, which 4d6 drop lowest also accomplishes). If 2d6 is used separate from other chargen rules, I could see a couple of lists. Roll snake eyes and you get a trait from the handicap list (but get to reroll your lowest score); roll boxcars and you get a trait from the silver spoon list (but have to reroll your highest score).Classic Traveller.
If you roll a 2 or a 12 on those dice during chargen, your character immediately dies (but its spirit becomes a figure of local folklore or legend).
If you just want to make them feel special, mount them on a well-finished piece of wood and give this out as a trophy each year for some reason: best player, best play, best quote, whatever.Eltab, Crusadius, thanks for the recommendations, but I'm not looking for a new game. Just a reason to make these dice feel special.