I thought modern digital displays are preferred for a variety of reasons and the analog display is a legacy visualization format. Is there any special case where analog meters are preferred?
As we all know, digital display technology is improving all the time in lots of ways so I can't think of many cases that still favour analogue meters but here's a few.
I know this has already been mentioned several times already, but an old school analogue meter needs no power source to read voltage and current. So I would prefer to pack an old/cheap/disposable 20k/V analogue meter in my car for VI troubleshooting. I would also expect a typical (cheap/disposable) DMM LCD to have display issues at cold temperatures.
Not my area of expertise but gas pressure is one area that still appears to be dominated by analogue meters. eg gas cylinder meters for divers or for other cylinders. Also fire extinguisher displays tend to be analogue. There may be digital alternatives but I don't think you need precision here. You just want a basic and reliable system that can work for long periods of time with zero maintenance. Just tap the dial and read the needle position?
There may be other cases where the zero maintenance argument applies too. eg temperature or strain gauges for certain critical applications.
The basic and cheap SWR and power meters used for CB/ham radio are another example where analogue still has the advantage in terms of not needing batteries. It usually doesn't need accuracy in the display technology either because the underlying uncertainty of the RF sensing system is far greater than the uncertainty of the analogue dial itself.
There may be situations where you don't want digital logic causing noise pickup and an analogue display would be preferred?
So I think the analogue display still has some merit in some areas?
At home or at work I rarely use analogue meters for electronics based stuff even though I still have quite a few of them. I do like the analogue dB scale on my old Racal 9300 rms meter and my old HP431C power meter but these are only really at their best when tuning/peaking things.
I usually connect a DVM to the 'recorder' BNC connector at the back if I need to get better quality readings than the analogue display can offer .