As a teenager I shot a 270 Winchester so much I needed to re-barrel it in only 4 years and I am now on that rifles 3rd barrel. I also have shot the rifling out of the throat of a 375H&H and learned to use it at all ranges very well. I also did a lot of long range shooting as a US Marine. So making hits at longer ranges was something I was very good at, and it lost it's charm to me when I was in my 30s.
But my "greatest shots" were never shots that were like target shooting. They were the ones I made at very close range or at moving game with very slim times available to make those shots.

A few of my bragging shots are ;
My closest elk was killed with my 375&H at about 6 feet, and I shot from the hip.
My closest shot on a deer was made with a 270 at about 5 feet, "aiming" down the side of the barrel.
My closest shot on a bear was with a 44 magnum handguns, and I blew hear off the bear.
And the same with my closest antelope kill, with my 9.3X74R at a distance of about 18 inches. There was a lot of hair in the air at the shot.
One shot that was the most impressive was at a running Mule Deer buck going like his tail was on fire down a ridge to escape from my hunting partners and he ran across an old timber trail that was about 4 feet wide at full speed. I had my 30-06 Scout Rifle and I made a perfect heart shot on him as he came across that 4 foot opening and killed him. I look back and think "I could not have hit a bird with an open choked shotgun with that little time and at that speed" ----- but I did it and it was just one of those perfect moments because I KNEW I'd hit him through the heart as soon as I pressed the trigger.
One of my friends was standing there and was so impressed that he could not stop talking about it for days.
Just one of those moments that came together exactly right when the brain was processing information at light speed I guess.