I've had a couple of close calls. One of them involved the first buck that I've shot.
One afternoon, a friend and I had checked out a field with winter wheat growing in it. A snow storm was brewing that afternoon and the temperature was starting to drop. Out in the field was a 5-6 acre woodlot and we split up to go around it; he went one way and I went the other. We got to the back end of the woodlot at the same time and jumped about 20 deer which had been feeding on the winter wheat. The deer proceeded to run off in different directions, including a big buck which ran down the length of the field before dissapearing into the woods.
To make a long story short, we returned to the field later in the afternoon. My buddy hung out by the woodlot in the center of the field while I went to the spot where the buck had left the field. There happened to be a sliver of bush that protruded out into the field at that location. I tried sitting at the tip of the sliver while watching the main bush line, but the wind cut through me. Eventually I moved closer to the field edge but still within the sliver. In fact, I found a natural ground blind behind the limbs of a fallen poplar. As I sat in the ground blind watching the field edge, I caught movement to my right. Not 5 yards away, I saw 3 does feeding, and I was so startled that I almost had a coughing fit. The deer must have entered the field from behind me. Anyway, being a nimrod, I assumed that there must be a buck nearby, so I looked behind me, where I had originaly sat, and indeed saw a buck 10 yards away. It was a big buck too; all 10 points of him! Unfortunately the buck was on high alert as he could no doubt smell me. If it hadn't been for the does, he wouldn't of stuck around but luck was on my side. Because of my body position and his proximity, I couldn't get my rifle up for a shot so I started to think of excuses about why that I wasn't going to get this deer. After what seemed like an eternity, the buck finally relaxed and trotted out to be with the does; which by that time had moved off further into the field. Anyway, I had my opportunity and put the rifle up to my opposite shoulder and fired. The buck ran off for about 40 yards before doing a face plant in the snow. It was an incredible experience.
I've had other experiences where bucks have wandered below my treestand as well, but I didn't shoot them. (looking for bigger ones)
This last story doesnt' involve a deer. One day while small game hunting, I walked out onto an old logging trail. As I stood there getting my bearings, a fox came running down the road with a rabbit in its mouth. I thought for certain that it would veer off, but it didn't. It ran within 3' of me and as it passed by, I could see his eyes turn up to look at me. I swear it smiled at me as it went by.
"The true hunter counts his achievements in proportion to the effort involved and the fairness of the sport."
Dr. Saxton Pope