A few goodies:
In 1984 I did encounter the rear 1/3 of a fairly good sized Tiger Snake along the bushes on 8th hole at NSW. I was instructed by my caddie to walk down the other side as they were having a wee bit of trouble eradicating that snake and it's brood.
In 2000, playing our second 18 at Bulle Rock, I bunkered my approach to the 16th (vaguely remembering from my previous round that there were a hoard of wasps flying around that side of the green). I went in believing these were just those pesky large "cicada-killers" that were huge but harmless. Next second, I hit my shot and feel a pinch on my neck. Not allergic to bee stings, I thought little of it until I addressed my ball on the 17th tee and collapsed. I'd been stung by a real wasp directly into my Cartoid Artery and had crashed. My blood pressure and heart rate sunk to dangerously low levels and I was having trouble breathing. My buddies ran up to the clubhouse, got a cart and were (I was) damn lucky that two off-duty US Secret Service agents had just finished their round and were in the pro shop. They had an adrenaline epi-kit in their SUV and raced out to get me. After a night in the local hospital, I was never again so cavalier about wasps on a course.
I've seen plenty of bear, coyote, gator, and even once a cougar (he was high up on some rocks at Desert Mtn) alongside courses over time. They won't bother you if you don't bother them.
The strangest and most frightening critters I've encountered while playing include a pair of tarantulas, a coral snake and even a dreaded fer-de-lance, all in a single round in Costa Rica. At first, the spiders were kinda cool and I was told they were about to mate. The coral snake was small and basking in the parking lot, not very intimidating. However, the fer-de-lance was huge (2.5m) and moving quite swiftly alongside a green. Our caddy told us they are highly venomous, territorial and particularly aggressive. Needless to say, we skipped that hole and headed straight for the bar!