The top girl at my gym has done some Equestrian vaulting:
… most often described as gymnastics and dance on horseback, …, it is an art and not a competitive sport. It is one of ten competitive equestrian events recognized by the International Federation for Equestrian Sports …
Jumping over horse on Sokol slet in Prague 1901
larger original – Wikipedia
Thanks to the commenter who sent me a link to this photo.
Gymnastics Coaching.com 