Rabbits seem to cause all sorts of riff-raff.
Fresh out of Riverwood, and only about thirty-minutes in, I watched as a rabbit dodged my arrow, and ran straight into the nearby river and immersed himself Submarine-style. I waited for what seemed to be an hour for him to resurface, but then just let him be and continue on my marry way.
Then I watched as a group of giants attempted to run down a rabbit that had gotten too close to their precious mammoths. The rabbit didn't get away. Several minutes later, with several towns distance between me and the original take-off site, the rabbit impacted into the face of a guard, who acted like he hadn't just gotten hit by a rather peculiar rabbit-shaped comet.
Then their was the time I fast-traveled to the shrine of Azura to find a horse on the stone altar. I heard of a glitch, that if your horse died it may spawn (Dead of course) next to you if you fast-traveled. However, I never even rode a horse to this point, making it all the more eerie...