In no particular order:
Manfred Mann’s Earth Band covered “Blinded by the Light” by Bruce Springsteen.
Vanilla Fudge cover of Lennon/McCartney’s “Eleanor Rigby”
Eric Clapton’s cover of the Robert Johnson tunes on “Me and Mr. Johnson
Annie Lennox cover of “Whiter Shade of Pale” by Gary Brooker and Keith Reid of Procol Harum
The Byrds cover of “Mr. Tambourine Man” by Bob Dylan
Warren Zevon cover of “Back in the High Life Again” by Steve Winwood
The Who included a cover of “Eyesight to the Blind” by Sonny Boy Williamson in “Tommy”
A couple by Elvis Presley, not Costello: “Blue Suede Shoes” by Carl Perkins; “Hound Dog” by Big Mama Thornton;
Santana cover of “Oye Como Va” by Tito Puente