The HX711 is a "load cell amplifier". This is chip containing a differential 24-bit ADC, clock, and voltage regulators, for reading a resistive bridge circuit. They are used to read the load cell (strain gauge bridge) in inexpensive digital scales. Typical full-scale sensitivity is ~20mV, meaning that the single bit resolution is around 1nV.
Is there a similar chip, intended to read out a capacitor bridge circuit?