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High frequency signal processing is an obvious example of a case where an analogue computer can be superior under certain conditions. Say you want to detect when a signal has risen above a certain average magnitude over a particular time window. You can quite easily do that using a few op amps and passive components, even up to GHz frequency signals. To do the same thing digitally would require high end ADCs and either a very fast CPU or an FPGA. If your budget is tight then even frequencies of 1MHz might prove challenging to process digitally.

This is probably one of the reasons why analogue fly by wire flight control systems existed quite a way into the digital age. The original Su-27 had an analogue fly by wire flight control system, for example.