1983 ~ Library of Congress Book of the Year, Parents Choice Award
1983 ~ Remarkable Books for Literature
1983 ~ Children's Choice Award – IRA/CBC (International Reading Association/ Children's Book Council)
1983 ~ Boston Globe-Horn Book Illustration Honor Book
1983 ~ Booklist Children's Editors' Choice
1983 ~ Horn Book Honor List
1983 ~ Junior Library Guild selection
1986 ~ Children's Picture Book of the Year Award, Redbook Magazine
1984 ~ Junior Library Guild selection
Seven Froggies Went To School
1985 ~ Children's Choice Award IRA-CBC
1985 ~ Junior Library Guild selection
Bedtime; Clean-up Day; At the Playground; and What Bounces? (board books)
1986 ~ Year's Top Prizes selection, Publishers Weekly
1988 ~ Pick of the Lists selection, American Booksellers Association
1989 ~ Children's Choice Award, IRA-CBC
1992 ~ Children's Choice Award, IRA-CBC
1992 ~ Children's Book of the Year
1992 ~ Bank Street Child Study Children's Book Committee
1992 ~ Featured book on PBS television series "Storytime"
1992 ~ Featured book on ABC radio series "Mrs. Bush's Story Hour"
One Saturday Morning, by Barbara Baker
1995 ~ Best Books, School Library Journal
1995 ~ Parents Choice Award
1995 ~ Junior Library Guild selection
One Saturday Afternoon, by Barbara Baker
2002 ~ New Jersey Garden State Children's Book Awards
2002 ~ Garden State Teen Book Awards, easy-to-read category