Mickey Mouse Clubhouse, Jessie, Austin & Ally, Liv & Maddie ... you can find these shows and many more on Disney Channel. Not all episodes are available to watch, but there's more than enough content to keep the little ones entertained for a while. Unfortunately, it has a lot of advertisements. Of course, they're all related to Disney products, but they're still ads, nonetheless.
The app also lets you check the channel's list of programs. This way, you can use it to find out what time your favorite shows are on, and watch them later on TV.
Disney Channel is a good app for watching Disney shows. It has a simple interface, a great deal of content, and a wide array of settings that will satisfy even the most demanding viewers.
Requires Android 4.1 or higher