Not often enough. Been walking the woods since I was 10 with a bb gun, then break open pellet rifles, then 22s. Rarely did I get anything, it was more about walking the woods and practicing my woodcraft skills. Most of it was on my neighbors property when I was a kid, without any formal permission. I didn't destroy anything and left it as I found it. Most times one or two of my labradors were with me. Man, those were the days!
Then I moved on to state lands after a few years hiatus (ya know, girls become attractive and all that). I now have 80 acres of hedge and cedar trees with a decent number of varmints. There's not much better than getting out into nature. A woods walk hunting squirrel is a great way to do it.
It was during one of these state land hunts that I happened upon a rare bird for this part of KS, a pileated woodpecker. Not hunting, but fishing one time I saw a pack of ten river otters. The curious things came within about 30 ft of us, just across the river on the opposite bank. They were chattering up a storm, no doubt trying to figure out what those two lights were across the river.
My go-to woods walking gun is the Steven's 22-410. A break over o/u in 22lr and .410. It hits what I aim at every time, and has a .410 shell for any birds or quick bunnies. Iron sights is the only way (some say I have pilot's eyes).
The marlin papoose is another favorite, due to its 3.25lb weight. I've also taken quite a few bushytails with my marlin 17vs topped with a small leupold scope.
PSA: in states where rabbits are legal quarry year round, beware of Rabbit Fever. I tend to only take bunnies after the first good frost or two, to weed out any sickly ones.