On Xbox Live, you can keep people\'s voices muted if you want, or through the tv, or through the headset. Not sure about PS3.
I haven\'t had Live in a couple years, but when I did, games like Uno and Texas Hold Em and Tetris were not only largely without obnoxious behavior, sometimes they were more enjoyable due to the relaxed social element, especially when it\'s people you play with frequently..