Mark,
Gain and Offset errors can be trimmed externally by your system. Those errors are constants and can be easily factored and clibrated out.
Linearity errors (DNL and INL) are the ones that are usually most important for you. DNL indicates the deviation from the ideal 1 LSB step size of the analog input signal corresponding to a code-to-code increment. INL is the measure of the straitness of the transfer function.
The reason why there is no comprehensive spec that includes all errors is the fact that not all of them will be important for your measurement. Here, you can determine the error before the ADC, and then important to you errors of ADC.
Regards,
Natallia