I was at a horse camp, on a stubborn horse during Parents' Day, and she kept on refusing a jump (10 or more times!) Anyway, she finally figured out she had to do it, and took it like it was a 5' monstronsity instead of the maybe 2' baby it was. I am a horrible jumper, and came off her, but landed with her, one foot in the stirrup and one foot on the ground; thought, oh, well, might as well just jump right back on now. My trainer said she'd never seen anyone get back on as quickly.
Another time I was riding my horse bareback and she was walking and I just kinda slid off--my horse gave me the weirdest look (I hadn't come off in years.)