The movie "The Unforgiven" had a good lesson about being calm under pressure (love the ending).
To me, general shooting of precise targets does not impress me, but is fun once in a while and tests your skill such as trigger control and breathing.
What impresses me, and what I work on the most, is trying to fire while moving myself from different positions in different ways and/or at a moving target. Let's be real, it is very seldom that you and/or your live target are going to be still in combative shooting. Combine a moving target/moving shooter with stress and you have a completely different animal from "target shooting".
Placing shots in the x-ring at 25 yards with a combat handgun is nice and so is popping cans in the desert at "long" range (fun!), but it does not impress me in the least, it is just fun and easy practice.
Running through a time trial where you and or the targets are moving and/or appearing and you have to take combative shots on the fly...and score well....well, that is a good shot, IMHO.
When I shoot in the desert (which is where I can be the most creative), I quickly get bored of shooting still targets, and progress to shooting while running, shuffling, and all kinds of stuff. Being able to double tap a moving can at 15 yards while shuffling sideways (both you and the target are moving, and you are shooting "rapid fire" for lack of a better term), for example, is more impressive to me.
Guess it depends on what you want out of your shooting....precision target handgun, combat handgun, precision rifle etc etc.
And, as said above, all things are relative, so it depends on how good those around you are (what you compare to) and what you are bad at. Personally, I think I am anywhere from poor to average to "pretty good" at most types of shooting (depending on the type). But, I surround myself with guys that have been shooting weekly for 20 years, so I am comparing myself not to super-pro competition monsters, but at least to very experienced shooters.
Try this thread, it might help (I was asking the same question, but refined to 25 yard "headshots" with a combat handgun).
http://ericcom.com/glocktalk/Forum3/HTML/002157.html