I know many songs with only those chords :) -- the disclaimer is that I don't know how, if at all, you'd like to limit it by genre! In any case, I am thinking of soul and r 'n' b songs. In particular, in the years around 1968-1971, in the Jamaican music industry, there were tons of 'em.

One example you might know is the reggae song "Liquidator," which was lifted by the soul group the Staple Singers for their hit "I'll Take You There."
Incidentally, this is the typical progression for songs in the so-called "skinhead" sub-genre of reggae music.