Its about impossible for me to remember all the shots that I've taken at game in over 50 years of hunting, but ifthe vegetation and terrain allows it, my first choice is a prone position, and, if possible, prone off a solid rest.
Next would be sitting, and again with a rest, and with a sling. I often carry 3 legged trigger sticks with me.
On African hunts I've learned to shoot standing, off sticks and I like the 3 leg sticks the best.
I have shot some animals offhand, but they were relatively close shots in thick brush where there wasn't time to get in any other position.