I've been playing CK2 for long periods at speed 4. Not at war or anything, just watching stuff unfold. Keeping an eye on my family and vassals as the whole character system works through history.
That is what I really like; in the EU3 system you might get an event where say an awkward marriage between nobles threatens you power. You'd get some choices and some consequences, maybe follow up events, but at the end of it you would have just paid your cash, or taken your stab hit, or popped your rebel stack or whatever.
In CK2, your high nobles are modelled individually. They get born, grow up, look for politically advantageous marriages, have affairs, kill people who get in there way, and generally interact. I just noticed that a duke and duchess of mine had got married, not something I want since I like my vassals weak and divided, not combining their houses. So I had a fairly important internal issue, with serious ramifications, and it just dropped out the bottom of the character system. So did the solution: the duchess in question decided to start a plot to take one of my king titles, so I had her arrested and then noticed that she didn't have an heir, and her entire estate would revert to me when she died. There is a tyranny penalty for executing your prisoners, but us far-sighted rulers are used to being misunderstood.