Tarzan's distinctive call was either created by sound recordist Douglas Shearer from various sounds, or it was indeed Johnny Weissmuller doing the yell himself. Co-star Maureen O'Sullivan insisted throughout her life that it was Weissmuller doing the yell without any technical assistance.
The elephants used in the early Weissmuller films were not African but Asian elephants with African sized ears strapped on. This practice is still common because the Asian species is much more docile than the African. In later films the fake ears were abandoned altogether figuring no one would know the difference.
At no point in this movie is the line "Me Tarzan, you Jane" spoken. When Jane and Tarzan meet, it is she who initiates the verbal exchange, repeatedly indicating herself and giving her name until he repeats it. She then points to him, indicating that she wants to know if there's a word for who he is as "Jane" is the word for who she is, until eventually he understands and says, "Tarzan."
When Johnny Weissmuller was approached to play Tarzan, he was under contract with BVD to advertise its underwear and swimming trunks. BVD strenuously objected to its spokesman appearing in just a loincloth - the company only wanted him to appear wearing its product. In return for letting Weismuller play Tarzan, MGM allowed BVD to run ads featuring the studio's contract players in BVD swimsuits (including Greta Garbo, Joan Crawford, Jean Harlow and Marie Dressler). (source: "Tarzan of the Movies" by Gabe Esso)
This film used considerable stock footage from Trader Horn (1931) also directed by W.S. Van Dyke, resulting in some very obvious back-projection effects, particularly toward the beginning of the picture.
Apparently, the chimpanzees were supposed to be the baby apes and actors in ape costumes were the adults, a practice that was dropped after this film (one of the men who played the apes was Ray Corrigan).
This film was made by MGM Studios. Tony Goldwyn, who was the voice of Tarzan in the 1999 Disney adaptation Tarzan (1999), is the grandson of Samuel Goldwyn, one of the namesakes of Metro-Goldwyn-Mayer (MGM).
This film received its initial television broadcast in New York City Monday 1 April 1957 on WCBS (Channel 2); but it's first Los Angeles telecast did not take place until Wednesday 9 October 1957 on KTTV (Channel 11); in San Francisco it was first telecast 5 January 1958 on KGO-TV (Channel 7).