I used to like random events. Then I played a EEP GC as Byzantium and got the worst string of random events ever. Seriously, at one point, for over 100 years, I spent money on nothing but stability and I was still at -3 most of that time. I would get "peasant uprising" which causes +6 for 3 years or something stupid. Then I would get "nobility allies with foreign power". Then some other retarded event that causes a +4 for 5 years.
Really now, some of the EEP random events have screwed up consequences. Raising a new tax causes +4 or +6 revolt risk for three years. WTF? The Peasant Uprising or whatever is the worst, causing random revolts, stab hit, revolt risk for years. Some of them need to be toned down a bit.
Also, if you're going to have such horrible consequences for some of the choices, the rewards should be better. For example, the raise new tax event gives you +1 tax value in a random province. That's not hardly worth the effort it would take to raise the tax in the first place. And the choices in the "end of great feud" event...send a gift for -50 and +1 stab or ignore the opportunity for -1 stab...that's screwed up also...if you "ignore the opportunity", nothing should happen; it's not like the families would say "ooh, the king ignored us, let's start fighting again".