She wrote Pippi Longstocking, which I know is popular here.
But she also wrote other fantastic, wonderful children's books which I'm not sure are widely known in the UK?
I can recommend them anyway!
I have read "The Children of Noisy Village" to dd1 recently, and she loved it.
Desperately sad and so suitable for older children is "The brothers Lionheart" (deals with death and loss)
Full \link{http://www.fantasticfiction.co.uk/l/astrid-lindgren/pippi-longstocking.htm\list here}
Please do tell me if you all know about these books anyway -
Astrid Lindgren is very well-known in Germany and I just didn't see that much of her here!