In the ADXL356 datasheet, the AD7682 ratiometric ADC is suggested as a a direct interface.
Are there any other ADCs which can be use to interface directly to the ADXL356?
Can you tell me a little bit more about your application and why the AD7682 doesn't work in your case? For example do you need a higher throughput converter or simultaneous sampling? This would help me narrow down the choices that will be best suited to your specific need.
The AD7682 is provided as an example. You may use other ADCs as long as the ADC that you will use must source the V1P8ANA pin as its reference. The accelerometer outputs in ADXL356 are ratiometric to V1P8ANA.