Games are rarely stated as being the primary reason why a child is bought a tablet; the primary reason is often education. Games, like streaming video, are a useful secondary reason for getting a tablet and parents often use games as a reward for a child accomplishing something.
The Sannuo 10.1″ Kids Tablet is an Android tablet that has access to Google Play, possibly the largest Android app store around. Games can be downloaded from the store and parents can allow children to use them through the parental controls. Both free and paid games are available, and in addition there are online games available.