This has been done before, but I am doing it again.
Here is a list of some starfighters that might warrant inclusion in this game. They all fit within the generous swath of time utilized thus far (YT-1300 from 72 BBY on up to K-wing from 16 ABY). I have deliberately left out the Jedi starfighters and the Naboo N1, which I think are too tied to their respective (and polarizing!) era for FFG to want to utilize them in this game.
The bold red entries have something neat going for them that make them stand out as candidates, in my mind.
Prequel Era (Before 19 BBY) (all are newer than even the Millennium Falcon named YT and the Z-95, similar age to Slave-I)
Cloakshape fighter
Tri-Mark VII Heavy Starfighter (Scum, Large base) [turret, 2 crew, bomb, missile, astromech x 2(!), Meeko Ghintee pilot, "Longshot" title)
Gauntlet-class Starfighter (Scum, Large base) "Splendor" title, Mandalore tie-in
Ginivex-class fanblade starfighter. Asajj Ventress pilot. "Last Call" title; looks distinctive, at least. Only six made, though
Empire Formed (19 BBY)
Alpha-3 Nimbus-class V-wing
GAT-12h Skipray Blastboat
A New Hope
XG-1 Star Wing (ion cannon native, missile, tractor beam, bomb, could add SLAM)
TIE Avenger (shields, missile, tractor beam)
Empire Strikes Back
TIE Hunter (ion cannon native, first TIE with torpedo)
Return of the Jedi
SoroSuub Personal Luxury Yacht 3000, "Lady Luck" title, Large base Rebel, Lando pilot, crew slot, ion cannon native)
Miy'til Starfighter (Scum, astromech, missile, SLAM) "Storm" title, Prince Isolder pilot
Preybird-class starfighter (Scum, could be Large base), missile, crew, "Raptor" and "Skyclaw" titles
Talon Karrde's almost one-of-a-kind Alpha-52 starfighter (looks horrible, but they could fix it) "Shrike" title, Mara Jade also piloted it. Could be neat
TIE droid. Too interesting not to do, in my opinion.
10 ABY