My DS7 loves Minecraft, but he likes other computer games too- especially those dealing with math and money. I think it depends on the kid, but many parents say that their children become very immersed.

We have the iPad addition- to me, it looks kind of "meh" but kids love it. We keep it on "creative" mode because I hear the survival mode involves some cartoonish violence. Even in creative, DS became upset because he accidentally drowned some chickens:)

Like others have stated, Minecraft (or any mind candy) is at the bottom of our to do list on the weekends. Essentially, homework, chores, playtime, reading, exercise have to be done before we allow it.