I don't know about any Easter Eggs yet but one of the choices (I think it might be in Career, but I can't remember exactly where I saw it) you can pay to have the game advance ahead 3 hours.
The thing about these types of games is they're built for endurance, not for speed. There are lots and lots of trophies to get and different ways to build your family and decorate your home.
And you really only need to check on them 2 or 3 times a day. They'll go on happily living their lives as long as there is enough food in the fridge!
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If I can get them to think, I'm half way there...