Wow, my elementary school dodgeball games were a lot different. You'd start with a group of people on the outside in a circle, that had to be a certain distance. They'd be the Throwers. Another group would be inside. They'd be the Dodgers. The Throwers would basically have 2 or 3 balls, and they'd try their best to get the Dodgers out. Now the Dodgers could also catch the ball and try and hit one of the throwers, eliminating them. No teammates or nothing, just every man for themselves. I was pretty good in this environment, having won a good amount of these games.
And an Adult Kickball league I'd be up for. When I was in the 6th grade I could launch the ball from one end of a basketball court to the other, hopefully I still have that kind of leg strength.