His orchestration tended toward the very lush, employing novel instrumental combinations, such as Chinese bells, mariachi bands, whistling, and numerous percussion instruments, blended with orchestra, mixed chorus, and his own heavily-ornamented piano style. The chorus was often called upon to sing only nonsense syllables, most famously "zu-zu" and "pow!" A survey of Esquivel's recordings reveals a fondness for glissando, sometimes on a half-valved trumpet, sometimes on a kettle drum, but most frequently on pitched percussion instruments and slide guitars.
Esquivel's use of stereo recording was legendary, occasionally featuring two bands recording simultaneously in separate studios, such as on his album Latin-Esque (1962). The song "Mucha Muchacha" makes particularly mind-bending use of the separation, with the chorus and brass rapidly alternating stereo sides.
He arranged many traditional Mexican songs like "Bésame Mucho", "La Bamba", "El Manisero", and "La Bikina"; covered Brazilian songs like "Aquarela do Brasil" (also known simply as "Brazil") by Ary Barroso, "Surfboard" and "Agua de Beber" by Tom Jobim, and composed spicy lounge-like novelties such as "Mini Skirt", "Yeyo", "Latin-Esque", "Mucha Muchacha" and "Whatchamacallit". He was commissioned to compose the music of a Mexican children's TV show Odisea Burbujas.
His concerts featured elaborate light shows years before such effects became popular in live music. He performed in Las Vegas on several occasions, often as the opening act for Frank Sinatra. He frequently performed at the Stardust casino lounge circa 1964.
Several compilations of Esquivel's music were issued starting with Space Age Bachelor Pad Music in 1994. The apparent success of these releases led to reissues of several of Esquivel's albums. The first reissues were compiled by Irwin Chusid, who also produced the first CD reissues of Raymond Scott and The Langley Schools Music Project.
The last recording on which Esquivel worked was Merry Xmas from the Space-Age Bachelor Pad in 1996, for which he did a voiceover on a track by the band Combustible Edison. This album also included several obscure tracks from his past sessions. The last CD released during his lifetime, See It In Sound, was actually recorded in 1960, but was not released at the time because the record company believed it would not be commercially successful. When released in 1998, it exhibited very unusual and introspective stylings absent from his other works, including a version of "Brazil", played as a musical soundscape of a man bar-hopping where the band plays different renditions of "Brazil" at each bar.
- Exploring New Sounds in Hi-Fi (1959, RCA Victor LPM-1978 (mono), LSP-1978 (stereo))
- Four Corners of the World (1958, RCA Victor LPM-1749 (mono), LSP-1749 (stereo))
- The Genius of Esquivel (1967, RCA Victor LPM-3697 (mono), LSP-3697 (stereo))
- Infinity In Sound (1960, RCA Victor LPM-2225 (mono), LSP-2225 (stereo))
- Infinity In Sound, Vol. 2 (1961, RCA Victor LMP-2296 (mono), LSP-2296 (stereo))
- Latin-Esque (1962, RCA Victor LPM-2418 (mono), LSA-2418 (Stereo Action))
- More of Other Worlds, Other Sounds (1962, Reprise R-6046 (mono), R9-6046 (stereo))
- Other Worlds, Other Sounds (1958, RCA Victor LPM-1753 (mono), LSP-1753 (stereo))
- Strings Aflame (1959, RCA Victor LMP-1988 (mono), LSP-1988 (stereo))
- To Love Again (1957, RCA Victor LPM-1345)