Thanks for inviting me to the panel. I am not entirely sure I have much to contribute beyond anecdotal things - I have only ever had two injuries to speak of, both in showjumping (that [Olympic] equestrian sport where you have to jump obstacles over a preset trajectory laid out within a 20x40m rectangle), and both were pretty minor, but one more funny than another one.
The less funny one was breaking my left arm just above the wrist - the "standard" break that people get when they slip on ice and put their hand to the side to catch themselves - one bone broken, the other slightly fractured; contrary to the more reasonable way of doing it by falling on it, I broke it by making a bad approach to the obstacle, getting out of phase with the horse and then not letting rein slide fast enough - whiplash broke the arm, then I slid off onto the other side (I had a video so I was able to analyse). That was unpleasant but only cost me about 6 weeks in a plastic cast and some physio to recover (which was the most painful part, to be honest)
The funnier one was when I was only learning to ride properly, and maybe jump over some sticks lying on the ground. It was a winter lesson. Under the riding jacket I was wearing a flannel shirt, in the chest pocket of which I had my passport for some reason (the internal Soviet one which serves as id, probably needed to do some bureaucracy that day, or something). It was in a leatherette cover which had tin corner coverings. I fell off (which was perfectly normal) and that tin corner went in between ribs and crushed a muscle in there. Took 7-ish months to heal properly and all that time I couldn't deep breath properly, and sneezing or coughing would cause tears to literally sprinkle from my eyes. It wasn't awful but quite embarrassing, of sorts.
Did nothing to my self-image as an athlete because I never had one :D and my sports always were non-team ones (largest team was in equestrian sport - me and the horse).
I just very recently found that I have a burst meniscus in my left knee, which for now denies me any chance to run or do other impact things; this is a bit bothersome/inconvenient, but I'm considering my options to get it fixed so I could possibly do some martial arts without much explicit impact-based legwork.