Got shased by an obnoxious goat once on a very small island. I had to climb a tree, was a bit too slow and got butted up the arse. Nasty.
Although it didn't chase me, I was having a piss behind a rock in India, looked up to see this vast water buffalo glowering at me, head lowered. It was a big wall eyed ugly fucker with massive horns. I'd never seen one before, was a bit stoned, and my god, those things are fucking enormous. I really thought it was going to go for me, not what you want while you've got your pants round your ankles, no sirree.