Slight local variation on “Suicide” in my area (Malden, MA, near Boston, at Forestdale Elementary):

No one was ever out of the game for good–it went on until recess was over or everyone was bored. People just sort of came and went.

You throw the ball against the wall. If someone catches the fly that person becomes the thrower. Otherwise you keep throwing. If someone touches it on the fly without catching it, (s)he runs for the wall while whoever happens to pick up the ball tries to peg him/her before (s)he reaches it. If the runner gets pegged, (s)he has to sit out until someone else gets pegged.

This was not too long ago (1994, 1995). I just saw it as a more complex Off the Wall (also a great game).