Obligation if you want to give players that option over Duty (or to go with it.)
Races, careers and specializations.
Gear is largely the same, but Edge has a vastly different vehicle list than AoR, with a focus on transports over fighters and bigger ships.
Edge has NPC stat blocks that will not all be represented in AoR.
Force stuff (different Talent tree and 2 non-repeated powers)
Planet focus/info on the galaxy I would guess will be different
And an adventure, which while Edge focus, just has more material to utilize.
I agree with RogueCorona about Sons of Fortune. That book works well for either game style as it's basically 'Tips, tricks and info on playing in the Corellian Sand Box.'
Jewel of Yavin and Beyond the Rim could EASILY be adapted for a Rebellion party (gaining supplies for Rebs rather than paying of debt/personal profit).
Enter the Unknown - Besides ships and gear, there are Fringer specs. 2 of which aren't in AoR. Since AoR could pick them up, might be useful. Also has a lot of good intel on just out of the way places, which also has a lot of cross over with AoR themes.
Dangerous Covenants - 3 new talent trees, gear, ships, and Merc company ideas which could be another great source for AoR.
While the lines are looking to fit their theme, I imagine you will find cross over and utility in pretty much all books.