I worked with a 16-bit cirrus logic sigma-delta adc in a design with a non-linear gas sensor and 16-bits was _just_ enough. If needed, I could have gone up to the 23/24 bit device in the same footprint, for more resolution. Absolute accuracy wasn't the main issue (I could have got away with 12/13 bits for that), resolution was. I used it with an 8-bit micro.
The really good thing about the A/D, was that its programmable internal amplifiers had a gain stability against temperature of only a few ppm/degree celcius, which meant that I could get away with a cheapish reference, of about 5ppm (iirc).
Can't remember the exact cirrus part number now, but would look at those again as the price was pretty good too.
Regards,
Paul.