Well, there's the tremendous Dexys Midnight Runners:
Geno is all about Geno Washington
Plan B includes the refrain "Bill Withers was good for me, pretend I'm Bill and lean on me"
Come on Eileen begins "Poor old Johnny Ray, sounded sad upon the radio, he moved a million hearts in mono"
Reminisce part 2 mentions the songs "The Wedding Bell Blues"; "Leaving on a Jet Plane"; "Lola" by the Kinks and "I'll Say Forever My Love" by Jimmy Ruffin
They also covered the Van Morrison song Jackie Wilson said (I'm in Heaven When You Smile)
Speaking of which, Van's probably the greatest for paying dues to his muscial heroes and predecessors in his songs - for instance:
Summertime in England has the line "The voice of Mahalia Jackson came through the ether"
Hard Nose the Highway includes "Ain't that some inspiration, when Sinatra sings against Nelson Riddle Strings, then takes a vacation"
Real Real Gone has the line "And Sam Cooke is on the radio", and ends with this fantastic litany: "Wilson Pickett said - In the midnight hour, that's when my love comes tumbling down, Solomon Burke said - If you need me, why don't you call me, James Brown said - When you're tired of what you got, try me, Gene Chandler said - There's a rainbow in my soul"
In the Days Before Rock 'n' Roll mentions Elvis, Fats Waller, Sonny Boy Williamson, Muddy Waters, John Lee Hooker, Ray Charles, Jerry Lee Lewis and Little Richard
The Eternal Kansas City mentions Count Basie, Charlie Parker, Jimmy Witherspoon, Jay McShann, Billie Holiday
There are loads more where those came from.