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Any mechanical regulation process that used to be handled by actual machine parts. Think of the centrifugal governor, this beautiful and elegant mechanical device just for regulating the speed of a steam engine. Sure, a computer chip could do it a lot better today, and we're not even building steam engines quite like those anymore. But still, mechanically controlled things are just genuinely a lot cooler.
Or hell, even for computing, take a look at the elaborate mechanical computers that were used to calculate firing solutions on old battleships. Again, silicon computers perform objectively better in nearly every way, but there's something objectively cool about solving an set of equations on an elaborate arrangement of clockwork.
The idea of punch card programming blows my mind.
He's not talking about punch card programming, that's way more advanced and requires a Turing machine, what he's talking about is computers as the term was using before what you would think as a computer existed.
The example in the video is for the computer on a cannon in a battleship. If there wasn't a computer you would need to adjust the angle and height of the cannon, but that's not something a human can know, what humans can know is angle to the ship and the distance to it, so instead you put two inputs where a human inputs that and you translate that into angle/height. Now those two would be very straightforward, essentially you just rename the height crank to distance. But this computer is a lot more complex, because wind, speed, etc can affect the shoot, so you have cranks for all of that, and internally they combine into a final output of angle/height to the cannon.
That's cool, but punch card programming blows my mind.