I know what you are saying. I remember one night me and a friend walked to the end of a really big pier for cargo ships. As we walked there we could see the barracuda scaring fish to jump out of the water. Anyway, at the end of the pier and about half a mile out into 200ft water I threw my friends shoe out into the black depths. He instantly got mad, I realized what I did was wrong and took the long jump to recover the shoe before it floated too far away. I remember chasing this shoe farther and farther into the black ocean, and thinking about the bull sharks that trail those cargo ships. Really not so frightening at the time, but probably one of the most dreadful situations to be in.
A more serious animal encounter was in NE Ecuador, after 3 days canoe and a silent period where we passed by a FARC camp we set up our own camp and went out on a night expedition. We saw a giant armadillo and some other good eats but they escaped us. The next morning going farther up river we encountered the only two natives in the area who warned us they saw a panther in the same area we were hunting the night before. So I'm sure we were stalked at one point, and quite glad it never ate us.
On my way back from fishing in the same region I stepped the most deadly snake in the region "el X" but the rubber boots and age of the snake stopped any puncture.
I think I've wised up and try to stay away from these situations. But its near impossible if you want to go anywhere interesting