There are a lot of threads on this already. And a lot of opinions. Since no one has replied, I am giving you my opinion. Your best bet if you want to avoid rubbing and somewhat extreme alignment settings is to stay with the stock size front tire. That is 215/40/17 on 02+ cars, and it fits fine on any older NSX as well. For the rear, the size that also matches your factory rear tire, is a 255/35/18. That is almost dead on as far as diameter goes with the stock 255/40/17 of 02+ cars. This keeps your TCS happy for sure, and is also the lightest weight. You can also go with 265/35 but IMO you aren't really making any gains other than weight. It is a minimal difference however with both. Some of the older NSX's may work better with a 265 as they keeps a closer stock "ratio". We are talking 94 and older. On your car, IMO, the best size is a 255. Some feel that a 265 will "fill" the rear wheel well better, but I don't think that is true. I also prefer a 9" rear rim to the 10", I think it is plenty to handle a 255,265, even a 275. If you are looking at 1K2Go's setup, firs of all understand he is a very seasoned track driver and he runs different track sizes. He is running a lot of negative camber to make these fit and he still has a very slight rub. It's not for the average person. I am sure nsxtasy ken and happa88 will jump in here soon and pretty much tell you what I have been telling you. As I said all this has been discussed many times. If you do go wit a 9" rear and a 255 like I did, you need to increase offset (decrease numerically) to make it look proper. You are running a 9" wheel which is roughly 12mm more tucked in. My increase in offset from 35 to 25 makes that up.
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Oh and you aren't going to handle any better going wider, not on the street. You will probably make it worse. Ultimate grip is not the only determining factor of "handling". You also want good response, and with most setups, the car will respond better being lighter on its feet. Weighing it down with heavier shoes has a lot of negative effects. If you need more grip you should go with a softer compound tire, not necessarily increase the tread width. Your actual contact patch is still the same. You are simply changing the shape.