Here are the most valuable books and media I found while researching the classic Japanese fantasy The Tale of the Bamboo Cutter (Taketori Monogatari). Most links are for more info at Amazon.com, an affiliate.
The Tale of the Bamboo Cutter (Taketori Monogatari), translated by Donald Keene, illustrated by Miyata Masayuki, with Japanese text modernized by Yasunari Kawabata, Kodansha International, Tokyo, 1998. By far the best full translation, along with illustrations by a renowned contemporary artist. This is a revision of Keene’s earlier translation.
Modern Japanese Fiction and Its Traditions: An Introduction, by J.Thomas Rimer, Princeton University Press, 1978. Another source for Keene’s newer translation.
“The Tale of the Bamboo Cutter,” translated by Donald Keene, Monumenta Nipponica, Vol.11, No.4, pages 1–27. The first publication of Keene’s earlier translation, published by Tokyo’s Sophia University in 1956.
The Tale of the Shining Princess, adapted by Sally Fisher, translated by Donald Keene, Viking/The Metropolitan Museum of Art, New York, 1980. Taken from Keene’s earlier translation. The standout feature of this edition is the quality reproduction of classic illustrations from eighteenth-century Japan.
Classical Japanese Prose: An Anthology, edited by Helen Craig McCullough, Stanford University Press, 1990. Includes McCullough’s own excellent translation of several selections from the story.
The Old Bamboo-Hewer’s Story (Taketori no Okina no Monogatari), translated by F.Victor Dickins, Trübner & Co., London, 1888. An early and less accurate translation, but useful for comparison and for its notes.
The Tale of the Shining Princess, by Hisako Matsubara, illustrated by Naoko Matsubara, Kodansha International, Tokyo, 1966. This elegant edition is illustrated with numerous woodcuts. The text is too loose to be called a translation, but it does present the story in full.
The Moon Princess, retold by RalphF. McCarthy, illustrated by Kancho Oda, Kodansha International, Tokyo, 1993. A brief children’s version in verse, notable mainly for the historical detail in its illustrations.
Shining Princess of the Slender Bamboo, adapted by Sylvia Ashby, I.E.Clark Publications, Schulenburg, Texas, 1976. A script adaptation for children’s theater.