http://www.childrensbooksforever.com/

http://en.childrenslibrary.org/

http://www.logoslibrary.eu/children/

I hope this is help full. 

Enjoy!

Hej!

Not sure if you're also looking for something to listen to..but I usually also love the children's stuff and it's been a great help when I can also listen to the language instead of just reading :)

So first:  you can find the children's books of Astrid Lindgren as Audiobooks for free on Spotify!

I also like the "barnradion" from Sveriges Radio (sverigesradio.se), they have a lot of nice stories for children also.

And lust but not least: the Julkalender is coming up! This is like an advent calendar on TV, you can watch a 15 min episode everyday from the 1st of December to the 24th. And it's also especially for kids ;) You can watch this on SVT. se (starting Dec 1st).

I hope this helps, even though it is not reading! But I'm sure it will certainly help with the language and pronunciation as welll :)

hej då!