As is well known, the Advantest R6581 DMM has two main problems, the second of which is a custom VFD display that is not available commercially.
As a result of reverse engineering the multimeter firmware and analyzing the circuit diagram, I was able to find at least two possible ways to replace the VFD that has become unusable:
1) A difficult to implement, but flexible and interesting way: installing a microcontroller module that "spy" on reading the external dual-port display buffer from the Hitachi H8 controller on the front panel board. The resulting ASCII character codes and their attributes can be rendered on any graphic display.
2) A simple and cheap to implement way: installing a microcontroller module that "spy" on writing to the shift registers on the front panel board of the multimeter. The resulting bit image of characters can be output only to a limited number of displays with a resolution of at least 256x48 pixels.
If you choose the second way (which is what I did), then replacing the display will cost about $20 and half an hour of your time. As a basis, I took the most common STM32 Blue Pill (STM32F103C8T6) and 3.12" OLED with SSD1322 controller. Attached is the schematic diagram and the project archive in STM32CubeIDE.