Myself, I prefer writing them to playing them. I just don't have time to waste playing video games.
I'm starting to branch out into writing desktop/Android games for a living, so my 2 older kids get to be "beta testers". The game I'm currently writing is for kids anyhow. I'm a child of my time, so I still prefer 2D old school or "retro" type games. (Think: Final Fantasy II or any Super Nintendo game.)
My "older" kids (the ones who have lost at least 1 tooth) also sometimes play browser games on Highlights or Cat in the Hat.
But they have to be somewhat educational and/or completely innocent. But they also have to be considered a treat. Not the default mode of entertainment. They don't get to plop down in front of the screen whenever they want all day long. My kids have to know how to play, how to amuse themselves, how to pray, how to help with household chores, how to exercise, and they can't have their imaginations stunted.
Also, there is a minimum age for "screens". Below a certain age, screens do absolutely no good, and only harm a child's developing brain and imagination.
If you haven't seen this famous video, it's only 1.5 minutes, I IMPLORE you to do so:
The toddler in the video can't work a good-old-fashioned magazine, but he can work an iPad. Imagine the long-term damage to this poor young human being!
More is not always better.
Learning how to use PCs at age 10 or 15 is fine. Learning how at 2 years old won't "give them an edge", it will simply mess them up. Period!
Baby Einstein videos can go rot in hell. (Sure enough, who owns Baby Einstein? Disney! Even the heretic Baptists know that Disney is evil.) Along with all "toddler" games available on tablets/phones. You know, the ones where they teach "colors" and keep it simple, because "what else can a 2 year old handle?" I'll tell you what they can handle -- being offline. Don't ruin the kid's brain.