I'm surprised this hasn't gotten many posts! I just came across this thread in a search for another thread.
I picked family. Sure of course I'd like to have both, and I do, but considering this is a debate, I felt it made more sense to choose the one I would choose over the other.
In the grand scheme of things, family is important. They (should) support you one-hundred percent of the time, and basically help to make you the person you are. Though video games are a great form of entertainment, if I had to pick between the two I would definitely pick my family.