Since you are not tracking the car and you prefer low noise and dusting, the OEM (stock) pads are your best option IMHO. If that's what's already on the car, there's no need to replace them unless the pad material is getting thin.
As for the brakes seeming "weak", it's normal for brakes to "fade" (seem weak) the first or second time the pads get really hot, which may have happened if you went up to high speed followed by hard braking for the first time on these pads. After doing that a few times, the fade will probably disappear. I can assure you that the stock NSX pads and rotors are not at all weak, once they have been broken in in this way.
The vibration you experience may be due to uneven brake pad deposits on the surface of the rotors. Chances are this is only happening on the front rotors, not the rear. You may be able to eliminate the vibration by bedding the pads or by resurfacing them. There's really no need to replace them, but if that's your preference, it won't hurt anything other than your wallet.
There are a lot of different rotors you can get to fit the stock calipers, including the stock ones as well as aftermarket. Assuming you're not planning on spending big bucks for two-piece rotors - which is overkill if you're not tracking - there won't be any significant difference in performance, but if you want slotted or drilled for their looks, that's up to you to decide.
If you'd like to read more about "bedding" brakes to break them in (to eliminate fade), and about vibrations that appear after major stops, check out these white papers on the Stoptech website; although they're written about racetrack use, they apply just as well from high-speed runs in a rally:
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The "Warped" Brake Disc and Other Myths of the Braking System
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Pad and Rotor Bed-In Theory, Definitions and Procedures
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Removal of Uneven Pad Deposits From Rotors Using Aggressive Friction Compounds