I was thinking about this and my idea would be analog faces, with the hands driven by independent motors (like some watches have). I did a bit of searching but couldn’t find such a movement, only saw ones where the minute hand is driven and you have to go round and round to move the hour hand. Maybe even electromechanical odometer-type move counters. But I lean more towards the steampunk side of things.
OLED would need the battery charged or changed fairly often, it couldn’t go months on a battery like an un-lighted LCD.
It is more of a collectors item and hard to find buyers in bulk for such kind of products. Just my 2 cents