Make sure power supplies are fine (up to the LCD; the MCU and the SN74LV8151). Do not assume these are ok because the rest of the circuit seems working. Check for correct voltage, stable and ripple (AC component).
With a multimeter in diode mode: check all pins, connections and tracks are fine between MCU and LCD connector, noting open; broken or damaged?
Use a scope to trace the signals between MCU and SN74 and the LCD.
If you don't have a scope but can solder: the SN74LV8151 is only a 1$ component. Swap it out, it is a cheap try.
Swapping out the MCU is somewhat more difficult as it will require you to program it.
Have you tried using the 'bad' CPU board with the other 'good' display and found the same issue?