* Show jumping: This is a sport in which horses and riders compete to jump over a series of obstacles. The obstacles are typically made of wood or metal, and they can be quite high. Show jumping is a popular equestrian sport, and it is often held at horse shows and other equestrian events.
* Dressage: This is a sport in which horses and riders perform a series of movements in a dressage arena. The movements are designed to demonstrate the horse's obedience, grace, and athleticism. Dressage is a highly skilled discipline, and it is considered to be one of the most elegant and beautiful equestrian sports.
* Endurance riding: This is a sport in which horses and riders compete to ride long distances over rough terrain. Endurance rides can last for anywhere from a few hours to several days, and they can be very physically demanding for both the horse and the rider. Endurance riding is a popular sport in many countries around the world, and it is often used to test the stamina and endurance of horses.
* Polo: This is a team sport in which players ride horses and use mallets to hit a ball into the opponent's goal. Polo is a fast-paced and exciting sport, and it is played by both men and women around the world.