Presley's version differs greatly from the original: Elvis started the song with the chorus, where Gunter began with the first verse, and he replaced Gunter's line "You may get religion" with the words "You may have a Pink Cadillac", referring to his custom-painted 1955 Cadillac auto that had been serving as the band's transportation at the time.
Baby Let's Play House was the fourth issue of a Presley record by Sun, and became the first song recorded by Elvis to appear on a national chart, when it made #5 on the Billboard Country Singles chart in July 1955.
Buddy Holly recorded a cover of this song in 1955 at the Jim Beck Studio in Dallas. Holly's cover, titled as "I Wanna Play House with You" was cut as a demo for Columbia Records and sounds very much like the Elvis version.
The song was also recorded by Australian Lonnie Lee on Leedon Records in early 1960. The version was not unlike Elvis' in many respects. It was very popular at Lee's shows and a version of him singing it in 1960 on Australia's first Rock'n'Roll TV Show, 'Six O'Clock Rock' is still extant.
The Newbeats released a version of the song on their 1965 album, Big Beat Sounds by The Newbeats.
Ace Cannon released an instrumental version on his 1967 album Memphis Golden Hits.
Tom Petty included a cover of the song on the 1995 box set Playback. Petty acknowledges Elvis's influence over him after briefly meeting Presley at the age of ten in the summer of 1961 on the set of Follow That Dream.