Answer by taking a quote from the following article:

Carousel is the second musical by the team of Richard Rodgers (music) and Oscar Hammerstein II (book and lyrics). The 1945 work was adapted from Ferenc Molnar's 1909 play Liliom, transplanting its Budapest setting to the Maine coastline. The story revolves around carousel barker Billy Bigelow, whose romance with millworker Julie Jordan comes at the price of both their jobs. He participates in a robbery to provide for Julie and their unborn child; after it goes tragically wrong, he is given a chance to make things right.

The cast album of the 1945 Broadway production was issued on 78s, and the score was significantly cut--as was the 1950 London cast recording. Theatre historian John Kenrick notes of the 1945 recording that a number of songs had to be abridged to fit the 78 format, but that there is a small part of "Soliloquy" found on no other recording, as Rodgers cut it from the score immediately after the studio recording was made.  A number of songs were cut for the 1956 film, but two of the deleted numbers had been recorded and were ultimately retained on the soundtrack album. The expanded CD version of the soundtrack, issued in 2001, contains all of the singing recorded for the film, including the cut portions, and nearly all of the dance music. The recording of the 1965 Lincoln Center revival featured Raitt reprising the role of Billy. Studio recordings of Carousel's songs were released in 1956 (with Robert Merrill as Billy, Patrice Munsel as Julie, and Florence Henderson as Carrie), 1962 and 1987. The 1987 version featured a mix of opera and musical stars, including Samuel Ramey, Barbara Cook and Sarah Brightman. Kenrick recommends the 1962 studio recording for its outstanding cast, including Alfred Drake, Roberta Peters, Claramae Turner, Lee Venora, and Norman Treigle.  Both the London (1993) and New York (1994) cast albums of the Hytner production contain portions of dialogue that, according to Hischak, speak to the power of Michael Hayden's portrayal of Billy. Kenrick judges the 1994 recording the best all-around performance of Carousel on disc, despite uneven singing by Hayden, due to Sally Murphy's Julie and the strong supporting cast (calling Audra McDonald the best Carrie he has heard). The Stratford Festival issued a recording in 2015.

Were the songs popular
Kenrick recommends the 1962 studio recording for its outstanding cast, including Alfred Drake, Roberta Peters, Claramae Turner, Lee Venora, and Norman Treigle.