Just a few of the events and when they should not occur
Pirates - if there is not one single piece of crystite, then what are they stealing? If no one has mined any stone, no pirates
Pirates don't keep an eye on what the target is producing. They happen to pass by, they plunder the planet. Tuna Fishermen can tell you that they don't carry treasures, but hostages and ransoms are a profitable business if you are a pirate.
Fire - if the store just burned down two turns ago, why is it burnning again? no/low stock (ie less then 10 units of all resources combined) in store, no fire.
In theory, food would be the only combustion source. Energy, metal and crystal can't burn like that. Let's supposse that is was caused by a sunlight accident or lit cigar, nothing to do with the gasoline can that player with so much Smithore was carrying into the shop.
Game just starts, everyone just grabbed thier very first plot and development phase starts - person "in 1st" gets their roof eaten by cat-bugs? This is just wrong, as for the very first turn rank is not an indicator of that persons wealth to the rest of the colony; it's randomly assigned by the computer. So no rank based events good or bad in turn 1.
Why is it wrong? Do you have something against the cat-bugs? They just like the taste of your tiles. Prepare for spending your whole MULE season without a ceiling on your head... =^¬_¬^= Don't worry, things like that happen a lot. In fact, in my first game in Planet MULE I lost a plot of land in the second turn.

(optional) A mule that has just been placed in a new plot (one that has not had a mule on it yet) fresh from the store should not be effected by radiation and go crazy that very turn. Its brand shiney new even the most cheaply built things last 1 day, but its fine if by the second turn it gets fried and runs off.
I don't think that MULEs can be immune to radiation. There is a meltdown, you happen to be in the area, tough luck.

Not something that happens everyday, but it can happen.
To sum up, the funny side of MULE is the random event stuff. It's like gambling, running the risk of something happening. If you don't have that little chance of suffering the punishment, it wouldn't be that entertaining after all. (Even when starting.) It's like when you get 2 pirate visits before round 5, or a fire in first round when only one player is producing food... things like that totally change the course of the game.