Well, here's an interesting curiosity. From 1964, and an album recorded on-stage at The Cavern -- yes, THAT Cavern -- in Liverpool, please enjoy Godfather of the British Blues Scene Alexis Korner, doing business with Blues Incorporated, in a live version of the venerable "Kansas City."
To be honest, although I obviously know Korner by reputation, the only music of his I can actually remember listening to heretofore is an amusingly actor-ish cover of "Get Off of My Cloud" he did (with Keith Richards' assistance) in 1975.
As for this track? Not a bad little band, but in the case of this particular club and this particular song, I think The Beatles probably did it better.