James Marshall's versions

 .Pleasant deSpain  has easy to learn versions --


 Any of those illustrated by Trina Hyman - esp. little red riding hood

 Jim Aylesworth -- Goldielocks and the three bears --


 Anansi and the Moss Covered Rock -- is great intro to African folk tales

 Zelinsky for  Rapunzel, Rumplestilskin, Hansel and Gretel


 Grimm's Fairy Tales, or the stories of Charles Perrault
the classic Cinderella retold by Amy Ehrlich and  illustrated by Susan Jeffers. 


the Paul Galdone versions of Three Little Pigs and Three Billy Goats
 Gruff  

the  James Marshall tale of Little Red Riding Hood

 
the Paul Galdone Gingerbread Man book. 

The Marcia Brown book  of Cinderella

 the Paul Zelinsky version of Rumplestiltskin.