Analog Devices vs. ESS Technology

It all depends upon how the complete circuit is implemented - board layout, clock. output stage, power supply. 

An accurate DAC can be built using either device. 

What @roberjerman said. The implementation usually matters much more than the chip itself. With that as a given though, some chips are easier to implement than others and ESS are amongst the most difficult - most sensitive to PSU quality for one thing. The AD1955 therefore has a good chance to be better than the ESS.