I am wondering what exactly is classified as a gospel song. "Shadrach, Meshach, Abednego" was a hit in the 50s for Louis Armstrong and I guess it began as a gospel song, but it went far beyond that genre. A completely different song called "Shadrach" was recorded by the Beastie Boys. It uses the names but does not tell the story.
I guess "Didn't it Rain?" could also be considered a gospel song, but it was also sung by mainstream singers such as Tom Jones and Frankie Lane. Tom Jones also sang "Delilah" inspired by the Samson and Delilah story.
"It Ain't Necessarily So" - from Porgy & Bess
Bob Dylan's "Highway 61" starts out with the story of Abraham and Isaac. Also "Knocking on Heaven's Door" "All Along the Watchtower" (excluding his Gospel songs)
"Adam Raised a Cain" by Bruce Springsteen
Leonard Cohen's "Hallelujah" as well as his "Story of Isaac"
"Them Bones, Them Bones, Them Dry Bones"
Boney M, "Rivers of Babylon"
"A Child is Born" Johnny Mathis
"The Unicorn" by the Irish Rovers is a song explaining how the mythical unicorn became extinct by missing the sailing of Noah's ark.
"Tears in Heaven" by Eric Clapton
"If God was one of us" - Joan Osbourne
"From a Distance" - Bette Midler
"Deck of Cards" I can't remember who sang this - or rather, talked it, but he remembered all his Bible lessons by looking at his deck of playing cards. A likely story, but it was popular at the time.
Not forgetting of course the Christmas carol, "The Twelve Days of Christmas." It's a carol but the gifts aren't particularly holy.
"The Coat of Many Colors" by Dolly Parton uses the Bible story of Joseph.
Songs from musicals based on Biblical stories, such as "Joseph", "Jesus Christ Superstar", etc could all be said to be inspired by the Bible.
It really depends on how loosely you take the phrase "inspired by the Bible."