Gno is a great game to play with your friend.  The premise is:

Professor Phileas Gno, the renowned scholar and world traveler, is looking for some enthusiastic research assistants to help him organize his card catalog of world knowledge. Visit the Gno mansion with your friend, and through a little brainwork, a dash of luck and a sound strategy, you might just become his most favoured research assistant.

 I really liked this game because you're challenging your friend with trivia questions and are working your way around a board as well.  It's a little tricky to describe so I'd say just play it and you and your partner will learn as time moves on.  The game's skewed a bit towards kids so it would be perfect to play with your child.