soccer.
College Sports is a great suggestion. Perhaps one near where you live. Since they all usually have the major sports. You will have something to follow all year.
Try Ultimate (also known as Ultimate Frisbee)
It's fun and competitive, A team sport but no referees plus you can also learn the spirit of the game.
Football. Baseball.basketball. Top 3 as far as twitter/espn mainstream
basketball is fun
badminton is also fun.
Swimming is also competitive
I would also suggest Kendo, but it's not mainstream. i definetely suggest you to try it tho
Maybe try field hockey? It's really fun