As WESHOOT2 said there's USPSA or IDPA, you can also shoot both types of steel games (reactive and bang&clang) also you might find some action pistol matches to compete in.
I don't know where you are located at but in Iowa about mid summer there will be a good steel match called the Big Dawg Steel match.
Do a computer search for it as I believe they still have a web site.
Best Regards
Bob Hunter
www.huntercustoms.com