I've run into two bears in my whole life (in the wild). Both in Yellowstone, if you can call that "in the wild". We were hiking on trails away from the crowds so it was kinda-sorta in the wild.

The first one was a grizzly. I think. He had that flat-ish face and hump on his back. We stumbled upon him (her?) accidently, but he pretty much ignored us for the first few seconds. He was digging at something. He looked up at us and that's when my wife took his picture as we carefully, but quickly, left the area. I wanted to kill her when I heard that shutter click, but he had already seen us anyway. Looking straight at us actually. His picture is below. He was pretty close - that shot was taken with a 200mm lens on a 35mm film camera. We certainly didn't approach him this closely, we got surprised. It was dusk. Picture is grainy because back in those days film wasn't as good. The shot was on 400ASA film that we pushed to 800ASA during processing (realizing we might have a decent shot of the bear, but underexposed, hence the "push"). All you young folks probably have no idea what "pushing" film means - ah, the joys of getting older - I miss that darkroom!

The second was a black bear. We were fishing on a remote stream. He came stumbling out of the woods on the opposite side of the stream from us. He saw us, and took off running in the opposite direction. We didn't run, but packed up and left the area.

Mr. Bear, as we nicknamed him, sometime in the early 80's in Yellowstone: