there is one application where you only use plain old electrical controls, and that is inside reactors. No electronics, no digital electronics, just plain old magnetic amplifiers and AC synchronous motors, as those are easy enough to design ( as they have been around for over a century) into a near fail never part. They will work till the materials they are made from literally transmute into something else, though your power bill to run them is not ever going to be small, and they will never be small assemblies either.
However aircraft still use them in the engines, control systems and avionics, despite the complexity of interfacing them with digital computers for input and output. Aircraft magnetic compass ( yes still a mechanical part) in the tail section is basically unchanged from the original Sperry designs, and there is still the old alcohol filled glass unit in the cockpit as the ultimate all power is gone backup, along with the artificial horizon gyro, standby altimeter and the standby air speed indicator, the rest may be glass but they are still there. Just motors, pressure capsules and geared mechanisms, capable of being dormant for decades, and still able to do that mission critical operation when needed.