4 person Fusball! I am not sure what the engineering solution would be since there are two axes of motion that are both simultaneously applied to the sticks, so independent motors and/or solenoids would have some trouble replicating real-world technique.
It would be easy to track scoring with light sensors behind the goal areas, but there would need to be some automation in the ball delivery system, if using a traditional low-tech cabinet.
Having a ball accidentally leave the table might increase complexity in the system, so maybe having cameras inside of an enclosure that keeps the balls in play. Otherwise the system would need to detect a ball leaving the field, have a number of backup balls queued up, and re-deploy them as needed.
It would be fun to have slo-mo goal-line cameras installed to show a replay after each goal!