I was on one church team that had pages of organizational charts. They all ran up and down. If I wanted that kind of organization, I would go work at General Motors . Teams are flat, not command and control based organizations. This is a major stumbling block for people as it is easier to build a command and control structure than it is to build a team.
Great teams have some fun.
I don't know if having fun together makes a great team or if great teams just have fun. Fun feeds off of good teams and good teams grow through having fun. That looks different in every team. For me, I want to go paintballing or go-karting or playing Doom over the network. For others, it involves some shopping or a more intiment time.