None are THAT old, but memorable none the less...
The first would have been when I was about 6-ish years old (1989-1991 time frame). I wasn't the greatest of swimmers and we had gone to River Country. Most of the day I had been playing in the kids area, but at one point the family decided to wade out into the main section which was essentially just a lake so the further you walked out, the deeper the water got. I was behind my parents trying to keep up and they must not have realized how deep it was because at one point, they turned around and saw me essentially on my tiptoes with just my nose and mouth sticking above the water... ahh fun times!
I believe the second happened on the same trip. We had just spent a bunch of time on Discovery Island and were on the boat back to the shore. It wasn't raining when we boarded the boat, but no more than 60 seconds after we left the dock the sky opened up into a pretty nasty thunder storm. Rain was pouring in everywhere and the boat was rocking, but everyone just seemed to be laughing and having a good time (probably because the skipper kept things pretty comical). The rain stopped (or at least slowed) by the time we had reached the opposite dock and most of us were pretty wet from the rain, but everyone got off the boat laughing and smiling... fun times!
BONUS: When I was 2-ish (1986/1987), we were apparently (I was too young to remember, so I only know from the stories of my parents) enjoying the character breakfast on the Empress Lilly. I was seated in a high chair with wheels on it and apparently Goofy pushed me around the dining room at break-neck (well, maybe not that fast) speeds!