I have tried to do a classification of sports in categories.
Speed sports (where the goal is to be as quick as possible. No or very little contact with your opponents.):
Precision sports (where the goal is to be as accurate as possible in throwing, tossing, rolling, ... No or very little contact with your opponents.):
Ball sports (where you and your opponent(s) are working to get control of and place a ball):
Fighting (where you and your opponents compete against each other using your strength and speed in contact.):
Motor sports (where you use the power of an engine as an important part of the sport.):
Combination sports (where the winning is decided by putting together results from several of the other categories):
Comparison sports (where the winning is decided by a judge):
Sports emphasizing balance and co-ordination (usually recreational but can also be competitive; these are also comparison sports!)
Sports without competition (where the ultimate goal is not to win but to have fun):
Hunting sports (where the sport is to find, lure, catch some animal):
I think the following are not sports, but instead (simply) GameS?; strictly speaking, there are no such things as "brain sports"
Brain-sports (where you have to think) - Card Games:
Brain-sports (where you have to think) - Board Games:
Brain-sports (where you have to think) - Letter Games: