IndiaParenting: Indian Children's Stories
Large collection comprising myths, legends, fables, Jataka-tales, fairy tales, witty tales and other stories.
http://www.indiaparenting.com/stories/

Kashmiri Folktales
Six folktales, including an audio clip (in Kashmiri).
http://www.koausa.org/Folk/

Eastern Stories and Legends
By Marie L. Shedlock (1920), e-text from the Baldwin Project.
http://www.mainlesson.com/display.php?author=shedlock&book=eastern&story=_contents

Tales of the Punjab
By Flora Annie Steel (1894), e-text of the Celebration of Women Writers.
http://digital.library.upenn.edu/women/steel/punjab/punjab.html

A Flowering Tree and Other Oral Tales from India
Tales from the region of Kannada, collected by A. K. Ramanujan; an electronic edition.
http://www.ucpress.edu/books/pages/6759.html

Indian Folktales for Children
Rajasthani folktales en legends, tales about Vikram and Vetal, and the wise fools Tenalirama and Birbal.
http://www.4to40.com/folktales/default.asp?article=folktales_index

IndiaParenting: Panchatantra
Ten fables from the Panchatantra, retold for children.
http://www.indiaparenting.com/stories/panchatantra/index.shtml

Tales from the Panchatantra
Fifteen fables from the Panchatantra.
http://members.tripod.com/~srinivasp/mythology/panchatantra.html

Tales of King Vikram and Betaal the Vampire
Selection of five stories.
http://members.tripod.com/~srinivasp/mythology/betaal.html

The Tortoise and the Geese and Other Fables of Bidpai
Retold by Maude Barrows Dutton (1908); e-text at The Baldwin Project.
http://www.mainlesson.com/display.php?author=dutton&book=tortoise&story=_contents

Indian Fairy Tales
Collected by Joseph Jacobs, e-text at the Gutenberg project.
http://www.gutenberg.org/etext/7128

Tales Of The Punjab
By Flora Annie Steel, e-text at the Gutenberg project.
http://www.gutenberg.org/etext/6145