So far I have never seen any of these multi game boards with analogue inputs, but as you say, several have inputs for optical devices (trackball).
There is a Horizontal vector multiboard 21-in-1 for sale (can't add any url, you need to google it yourself), but it doesn't say anything about analogue inputs.
Universal JAMMA Connector
User Friendly Game Selection Screen
Free Play or Quarter/Token Option
Supports CGA (standard resolution) and VGA (high resolution) Monitors
Each Game Is Fully Customizable (Difficulty, Game Speed, Number of Lives, etc)
Enable/Disable Specific Games
Standard JAMMA video output or VGA output (hook PC monitor up directly)
Uses standard arcade power supply or ATX PC power supply (with standard 4-pin molex connector, the same used for hard drives/cd rom drives)
However there is an extra connector that I can't really figure out the purpose of, so perhaps there is additional inputs to the JAMMA pins?