This isn't an answer to your question, so I won't be surprised if I get voted down, but I just want to point out that it's wildly reckless to drive with headphones in your ears, and in many states it's illegal to drive while wearing headphones. To drive safely you need all of your senses.

If, however, you meant to ask about riding in a noisy convertible, hopefully someone else will have a more useful answer for you.
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Gotta agree with the previous respondents that it's unsafe and potentially illegal to drive with headphones on.

Assuming you meant as a passenger in said noisy convertible, here are my suggestions depending on your budget...

Sennheiser EH-150 Evolution Hi-Fi Stereo Headphones (~$30)

Audio-Technica ATH-ANC7 QuietPoint Active Noise-Cancelling Headphones (~$90)

Bose® QuietComfort® 2 Acoustic Noise Cancelling® Headphones (~$300)
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The answer is don't use a noise canceling headphone, but a Sound Isolating Earphone. Sound Isolating Earphones are unlike headphones that feature noise canceling technology. For listeners seeking maximum audio fidelity, the differences are key. Noise cancellation technology uses active circuitry to counteract background noise, which may introduce artifacts into your audio. Sound isolating earphones comfortably fill the ear canal and naturally block most background noise for a clear, detailed listening experience--all without the need to listen at high volumes which may risk damaging your hearing.

Look at the Shure SE420-K for a quality pair.

-joe
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