Covers:

1960:

Rosco Gordon [probably a Rosco Gordon composition since day one; he shopped his song at Federal, without result unless a rush-released version on Tiny Topsy crediting Federal executive Ralph Bass; in 1990 Gordon re-established his rights to his song]

1963:

Jerry Butler [in the Green Onions groove]

1964:

Animals [as Don't Want Much and in '76 as Just A Little Bit]

1964:

Undertakers

1964:

Dave Berry

1965:

Them [made it all their own]

1965:

Roy Head

1966:

Mindbenders

1966:

Mitch Ryder & The Detroit Wheels

1968:

Jimi Hendrix

1968:

Etta James

1969:

Little Milton

1969:

Blue Cheer

1969:

Magic Sam

1971:

Charlie Musselwhite

1971:

Downchild Blues Band

1973:

Elvis Presley

1973:

Freddie King

1973:

T-Bone Walker

1974:

Jerry Lee Lewis

1974:

Rory Gallagher

1974:

Slade

1977:

Fenton Robinson

1979:

Delbert McClinton

1981:

Casuals

1987:

Diamonds [as Little Bit Of Lovin' Goes A Long Long Way]

1988:

Bobby King & Terry Evans [with Ry Cooder]

1993:

Nighthawks

2000:

Billy Branch & The Sons Of Blues [as I Don't Want Much]

2004:

Rick Derringer

2010:

Jimmie Vaughan

2011:

Steve Miller Band [again in Jimmie Vaughan's vein]