[EDIT:]

Maybe for the 'Taunt' game, the chorus for 'Dragostea din tei' plays in the background with a clip of some people dancing to it? The Numa Numa has been Brawl-machinimated, but I wouldn't use it for this, being someone else's work and all. XD

I second the 'It's a football, I chiseled it' joke for the chiseling game.

Maybe an iffier idea, but maybe Leekspinning (though I'm not sure how many would get that) or the 'THIS IS SPARTA' scene where one of the men gets kicked into the pit (I haven't watched 300, and I don't know the characters' names offhand) would replace the game with the mountain being hammered (Jump!).

A few stupid ideas. XD;

EDIT:
It's a football, self. Not a stone... XD