There is:
Magnet
Number of winds and the way a coil is wound
Wire type
Polepiece types
Difference between two coils
magnet grade, polishment, dimensions (height, length, width), charge, positioning
some have multiple magnets of the same size, others have multiple magnets of different sizes, others have multiple magnets of different grades
wire gauge and insulation type
I believe the polepiece length might matter too
coils can be different in many ways
I suppose you're talking about winding symmetry/asymmetry (different number of turns), but it could also have different wire and polepieces on each coil
not sure the coil material could make any difference, but the coil height certainly does, even in guitar speakers
baseplate material or the absence of it also make a difference