Hmm, while gymnists have the most perfect bodies, and I'm sure they're doing something right, I can't say I incorporate a lot of own-body exercises in my workouts. Some of the few that I do do are:
Chin ups, Pull-ups, Push-ups, Dips, and several Ab exercises (like planks, one I just discovered).
Beyond that though, my gym doesn't have rings or anything like that, just horizontal bars and monkey bars. I guess you could get creative, but for some reason I prefer more structured workouts.
I wish you well in your search for resources! Try maybe some kind of gymnastics training center.