I was born in 1985 so I must have had the book in the late 80’s early 90s, My mother purchased it from ToysRUs and it was a hardcover book with what I believe was a blue and white dust jacket. It is not the blue book of fairytales or the Richard Scarry book. It included Henny Penny, The Princess and the Pea, I believe also Anasi the spider and a story about a jackal or fox. There were about twenty stories in it. Please help! Thanks!
My Favorite Goodnight Stories by Linda Yeatman
I know the colors aren’t right, but just in case, check out The Fairy Tale Treasury (1972) here: http://w1.loganberrybooks.com/books/authors/anthologies.htm
Selected by Virginia Haviland and illustrated by Raymond Briggs, it was reprinted in 1986. It has 32 stories, including Henny Penny, The Real Princess (yes, by Andersen), From Tiger to Anansi, and Budulinek (this has the fox that kidnaps the boy Budulinek).