Once when I was hiking some trails in the park in the dead of winter, I stumbled across this freshly killed rabbit. Like it had literally just happened.
I snapped a few photos and kept on walking. When I returned the body was pretty much a big mess. Whatever had made the kill was apparently hiding out of sight until I went by, then returned to finish its meal after I was gone. Never heard a thing, nor could I see any prints on account of the crusted snow surface. A coyote or bobcat are the best I can think of, as both prowl my neck of the woods.
Not strange, per se, but a rare experience and one that was odd for me given the fact that the critter was still lurking about.