Non-active 'phones or earplugs don't eliminate noise, they attenuate it. It's still there, but the amplitude is reduced across all frequencies (not perfectly equally, but close enough for the discussion).
Active noise cancellation is fairly selective, and in my experience provide the benefit of canceling the more irritating (and damaging) low-freq, steady noise, but I can actually carry on a conversation while wearing them. It really depends on your specific need as to which method ends up better.
I've had QC2's for three or four years now, and they've been with me on about 500 flights so far. I've tried a plethora of other methods and brands, and in that particular environment, nothing works better. On my motorcycle, though, simple disposable foamies are better. Like I said, it depends on the activity & need.