I have a heart condition that restricts me from doing intense cardio activities but I would like to get involved in a sport in order to get in better shape, and make new friends, etc.
Well, I don't think there is any sport that is going to be easy on your heart. Sports require a lot of energy, fast running, non-stop activity, etc... If you want to get in shape, really the best way in your situation (to be on the safe side) would to just do stretches and exercises, yoga, or dance. Just don't overdue it. You could try volleyball, or tennis. Just don't get to worked up, or anything. Also, if you do get in a sport, that you notify the coach, or trainer about your condition.
Would Badminton be too much?