Portrait of Bilibin in 1901 by Boris Kustodiev
Illustration from "Vassilisa the Beautiful" 1899
It was while Bilibin was studying under Repin that he was commissioned by the Department for the Production of State Documents to illustrate a series of Russian folk stories. Six booklets were published between 1901 and 1903, each one telling the story of a famous Russian folk tale. They are: Fenist the Falcon, The Story of Tsarevich Ivan The Firebird and the the Grey Wolf, Vassilisa the Beautiful, Marya Morevna, The Frog Princess, and Sister Alyonushka and Brother Ivanushka and The White Duck. (I have the first three booklets, but they are reprints from the 1970s).
Illustration from "The Firebird", 1899
Bilibin also began designing for the stage at this time, creating sets and costumes for a production of Rimsy-Korsakov's opera The Snow Maiden in 1905, and The Golden Cockerel in 1909. Although he made a name for himself in Russia, he sought a new "exotic" location, and in 1920 he left Russia and moved to Egypt, where he lived for the next five years. He married fellow artist Alexandra Shchekatikhina-Pototskaya in 1923, and a few years later the couple moved to Paris.
Bilibin continued to produce illustrations, and to take commissions for stage and costume designs, particularly for operas. However, he missed his homeland, and in 1936 he returned to Russia. He gave lectures at the Soviet Academy of Arts until 1941, when he died during the Siege of Leningrad.
Costume design for "A Warrior" for the ballet The Firebird, 1931
Illustration from "Marya Morevna" 1901
There is an interesting article by Jennie Renton discussing Bilibin's art at Textualities, and a more in-depth look at Bilibin's life and work here. I also found this page, with full scans of three of the Russian folktale booklets.