There are plenty of schools that have great athletic teams and depending upon the sport, you may be looking at division 1, 2 or 3 level schools. For example, if you were considering a major sport like football or basketball you would be focusing on D1 level schools but unless you were offered a scholarship or had very great skills as a walk-on you chances of making the team would be slim.
Since you are considering badminton I think you need to do some research to determine which schools have badminton teams. Once you have a list you could contact the athletic department of each school to get additional information such as available scholarships, # of open spots, etc.
You should also consider intramural teams. These are recreational sports organized within a particular institution, usually an educational institution, or a set geographic area. So while you wouldn't be representing the university against another school, you could at least get a chance to play the sport you enjoy and at the same time learn how to get better.