I am convinced that if they had "Apples to Apples" on the Enterprise, this is exactly what would happen, so I do not think this is a crack!fic. :-)
"Captain, you said 'classic Terran games.'"
"We're playing group games, not chess."
"'Apples to Apples' is illogical."
"You learn a lot about the people you play it with. That's logical."
Two hours later, Kirk's impulsive card submissions had won him all but six rounds, and McCoy had stormed off because his submissions were RIGHT!