I have been slowly (so veeeerrry slooooowlllly) working my way through all the Hans Christian Andersen books available for kindle. This is the only one I would suggest reading.
Not only does this version have an active table of contents and lack any of the distracting misplacement of page numbers and illustration names that several of the others have (although it's still not illustrated), but it contains what appears to be every story ever written by Hans Christian Andersen!
Long stories (The Ice Maiden), short stories (The Princess and the Pea), well-known stories (The Little Mermaid), unknown stories (She was Good for Nothing) and dozens of others are all contained within these e-ink pages!
They are also readable! This is not the case with some of the other HCA books on kindle. The stories are still really boring, occasionally tedious, generally depressing and often religious, but yet I can read them without wanting to scream and pull my hair out as I did with What the Moon Saw: and Other Tales. Instead they are somehow magically more approachable and I can almost remember why I loved Hans Christian Andersen so much as a child (selected stories from, at least).
So if you, like me, are determined to try and re-visit your childhood via fairy tales written by Hans Christian Andersen no matter what, at least take pity on yourself--or pity on your children if you're trying to read the stories to them--and read this version.