Leisure games let you spend "quality time" with your family in a way that doesn't require interacting with them in any meaningful way whatsoever. And as an emotionally distant introvert, that's just what you need! "Nice shot, sis" is about as complicated as these conversations are bound to get.
You may not be the most athletic person in the world, nor the smartest, but your ARE competitive and you want to win at something. Enter leisure sports: Haunt of the paunchy, dim, and otherwise cast-aside.