Bob Weir sang this a couple of times with the Grateful Dead in 1985, and more recently with Ratdog in 1996 and 1997. Note that it's the song that was a hit for Wilbert Harison and not the older blues song by Jim Jackson ("Kansas City Blues") which bears only marginal resemblance.
It was also sung during a Garcia/Saunders set on 5 June 1974 with Alice Stuart on vocals
Kansas City, Kansas City here I come
Kansas City, Kansas City here I come
Got some pretty little women there, I'm gonna get me one
Standing on the corner, Twelfth Street and Vine
Standing on the corner, Twelfth Street and Vine
With my Kansas City baby now, buying Kansas City wine
Well the water in the city, well, taste like Georgia Pie
Going to Kansas City where it tastes like sugar wine
Going to Kansas City, Kansas City here I come
Got some pretty little women there, gonna get me one
Kansas City, yeah every night you gave me none
Kansas City, surely looked like they were done
You know they turned it around now baby, gonna scratch it, gonna run
And rock with my baby, rock with my baby, one more time
Rock with my baby, Kansas City baby one more time
One, two, three, four, five, six, seven, eight, nine
Well I might take a plane, might take a train
If I have to walk I will get there just the same
Oh, Kansas City, Kansas City here I come
Crazy little women there, I'm gonna get me one