Here is the Random Events for 2013 - 2014. As always, I'm not telling so keep an eye out for when each will pop up. I'm using the ROS file sent to me by Simmington Hills, not sure if she has it posted some place for sharing. But I'm sure you can ask her. ;)
1) Broke a leg! Sim must stay home for 3 days, and pay Doctor fees. Ouch! That's gotta hurt!
2) Large lottery prize! Alright! We're in the money!
3) Cancer! You're tired and drained. You've lost your hair. (Yes, I've actually though of a ROS on my own. LOL)
4) Oops, Preggy! You just got knocked up with the next sim you woohoo. OMG, haven't you ever heard of birth control!
5) Get gold badge! Yay, fun skill time.
6) Date night! Sim must take spouse/partner or highest LT relation sim on a date. This should be fun!
I'm just glad no one dies this time around, though the one who gets knocked up. I'm really not looking forward to.
So they are posted, therefore they are written in stone.