This is a game which I thought was fun, which I played on a forum many moons ago. It can give a nice insight into why people like certain things and helps people get to know each other's tastes.
Players ask a question such as, "Which do you like better, Pepsi or Coca-Cola?" You answer and, most importantly, give your reasons why you prefer the choice you've made. You then post a question, anything you like, such as "Which is better, steak or fish?". Someone answers that, gives their reasons and then asks a question. And on and on...
You can ask about foods, music, entertainment, books, video games, etc.
I'll start off for someone to answer.
Do you prefer Pepsi or Coca-Cola?