If ye be lookin' to learn STAGE FIGHTING, fighting for the theater, movies, and such, with safety a priority, Then you be wantin' the SAFD, The Society of American Fight Directors. They offer classes in many diferent places, the big one being a two week course at UNLV. They certify thier fighters, directors, teachers, and this certification is valuable in the theater, and also in the REnn Faire circles.
I personally was cerified by the SAFD, in unarmed combat, with training towords other weapon styles.
But if your not looking for that kind of thing, then try fencing, yea there are rules, but it is non correographed combat against a real opponent, an