Mario Party Six? Yes.
It comes with a microphone, and there are some microphone-induced minigames; my favorite being "Fruit Talktail." For those who haven't played it (surely not many have): one player stands on a high platform and screams the name of different fruits, the other players are on a lower ground composed of columns with pictures of fruits. Whatever fruit the microphone person says stays up while the others plummet into a generic abyss, so you have to try and get to that fruit.
Hopefully that description didn't suck.
Anywho--one time I was playing it with my friends, and the mic-weilder decides he wants to make the game a little more interesting so he shouts random combonations of fruit at the television. You know, like "Bananamelon." This made it really hard for everyone else to know where to run since there was no way to predict which platforms would fall! It was pretty funny, and we eventually spiraled into screaming jibberish and laughing into the mic to see if we could confuse the Cube into malfunctioning or exploding or something. I swear the platforms stopped midway sometimes...