Prompted by what the instructors of the sports class for middle-aged people that I take part set up from time to time: a soccer game in the gymasium with 2 teams, 4 goals and 2 balls in play at a time, each team defending two goals diagonally opposite from each other.
That makes for interesting tactics, and a lot more running than would be the case with 2 goals and 1 ball. It’s not a game played in a league or even really competitively, of course.
The only game with > 1 ball-like object in play at a time that I am aware of is a fictional one - Quidditch.
Is there any that is in fact played somewhere on a regular basis, not just on an ad hoc exercise as with our group?