Reining horses demonstrate sliding stops (used once you had roped a cow to secure it), spins and rollbacks (for quick turning) and other complex maneuvers. The very highest level of reining riders may do their routines without a bridle. Reining is often done to music.
The video shows top reiner Stacy Westfall doing her freestyle with no tack. (So, you know, the trope of the super rider who doesn't need tack may not be as inaccurate as a lot of people think).