Kids First - Kids Videos and Nursery Rhymes – Kids First is a free kid education app developed and published by USP Studios.
Bedtime Stories - The Swiss Army Knife for storytelling
YouTube Kids - YouTube for the youngins on iOS and Android
Tales Untold - Smart stories for smart kids (and smart parents, too).
ChuChu TV LITE - ChuChu TV LITE Best Nursery Rhymes Videos For Kids is an interesting app to stream more than 1000 videos.
Christmas Storybuilder - Generate Christmas themed storylines for kids