I wonder if we could have some sort of bumper cars track in-game? Maybe the screen view would become your steering wheel/dashboard, and you would play with other avatars for some kind of prize.
Or, could we have a "Glitchlympics" tournament? This could take place every real-time month, with various activities (the Races could be implemented in this) both related to normal everyday game activity (milking butterflies, collecting harvest) and crazier things, like T-rex races or something. Then at the end of the day, there could be a Gold, Silver and Bronze medal ceremony, the winners of which God could, perhaps, announce. And we could play the Glitch theme song at the awards ceremony. I'm sure the devs would be able to come up with much better/more creative ideas for this.
Anything with too many rules is hard to organize and maintain, as well as run if there are lots of players doing it. Plus, rules don't fit in with Glitch too well; any sport/minigame would have to have very simple gameplay.