We don't really limit screen time either. There are days when both boys (3 and 4.5) spend way too much time playing games and watching tv and there are days when they don't care for them almost at all. We have all the kids gaming systems (V.smile, Mobigo, Leappad, V.Reader, etc.), my Kindle, old laptop that DS4.5 has in his room and of course Android phone that's in high demand.
As for TV, the kids only watch PBS shows and couple other shows that I do find educational in some way (and they have learned a ton from those!) and same thing with games, it's mainly educational. If DS4.5 wants to play games on Nick JR website, he first has to earn 20 tickets on ABSMouse or do some work on Dreambox. Sometimes he likes to play PBS games and those are educational as well. DS4.5 does really well switching between acitvities. DS3 is the addict in the family but even he likes to drop the Leappad that's ingrown into his hand and go build with blocks or do something else.
Our only problematic game is Angry Birds. I can see it makes DS4.5 nervous and builds up frustration in him. I was determined to not introduced him to that game but he saw our 19 year old play it and that was the end of my plans to stay away from Angry birds
. But now DS4.5 knows that when he gets upset with the game, I take it away so he's learning to keep his feelings in check
