The kids' app available that is getting the most play around here right now is ToonGoggles. It's similar to Netflix but with only kids shows!
We dove in, my 11 month old, my 10 year old and I and tried an episode of Gloria's House. What can I say, the description spoke to me!
The free access is limited to three episodes of each show but once you're hooked on one show, monthly access is very reasonable!
Download the iOS (iPod, iPhone, iPad) version here.
Download the Android version here.
Or if you want to see a demo before you download it click here. But since the basic version is free, just give it a try! My kids like it, I bet yours will too.