This is not a knock against Radiohead, so please don't read it that way.
I have some very unscientific observations about children and music. And, one of the things that I have noticed is that you cannot entertain the children with Radiohead. There is just something about the construction of the songs, the dissonance, and the use of distortion, along with the emphasis on having drum patterns without whole notes, that does not please the children.
There are three bands that always seem to entertain the children. And this is in no specific order.
I can play almost any Lush song, and the children love it. Whenever 500 (Shake Baby Shake) comes on, they go crazy.
2. The Mock Turtles
Still can't figure this out. The Mock Turtles were a short-lived band from Manchester. And Then She Smiles is a huge, huge hit in this neck of the woods.
If you play James for your kids, you'll probably have to figure out how to acquire their back catalog and keep them happy. Sunday Morning and Ya Ho and Sit Down seem to rock the house.