The Marvelettes turned "Please Mister Postman" into a number 1 hit in 1961 (Marvin Gaye played drums on this. He was 22 at the time and trying to break into the business.)
However I first heard the tune when The Beatles recorded it in 1963. Sung by John Lennon, they played it at many of their early concerts
There are not too many songs in history to have hit #1 twice. Please Mister Postman is one of those rare birds. First with the Marvelettes and then for The Carpenters, who covered this on their 1975 album Horizon. It was their biggest hit ever worldwide, reaching # 1 in the US, Australia, Germany, Japan and several other countries, as well as reaching # 2 in the UK and Canada. It featured Karen Carpenter on drums and a guitar solo by Tony Peluso.