First recorded by Rudy Vallee (1931 |US #1 1942).
Also recorded by Jacques Renard (1931)
Popular version by Dooley Wilson & Elliot Carpenter (1942).
From the wiki: “Herman Hupfeld wrote ‘As Time Goes By’ for the 1931 Broadway musical Everybody’s Welcome. In the original show, it was sung by Frances Williams. It was recorded that year by several artists, including Rudy Vallée and an orchestra recording by Jacques Renard. In terms of popularity at the time, it was a modest hit. The song was re-introduced in 1942 in the film Casablanca, sung by Dooley Wilson accompanied by pianist Elliot Carpenter and heard throughout the film as a leitmotif. Wilson was unable to record his version of the song at the time due to the 1942–44 musicians’ strike, leading Brunswick to reissue the Jacques Renard’s 1931 recording; Victor also re-issued Vallée’s 1931 recording, giving Vallee a #1 hit in 1942. The song was voted #2 on the AFI’s 100 Years…100 Songs special, commemorating the best songs in film. ”