Beppe Crovella was born in Turin on March 21, 1952. He started playing at fifteen and made his first public appearance in 1967 with a local group called the X5. In 1968 he formed The Mystics, a dance-hall and village-festival band that opened for Italian pop acts and, in 1969, won first prize at a festival of local groups in Chivasso, a town near Turin.

In 1974 he became the keyboardist and a composer of Arti & Mestieri, the Turin band assembled around the drummer Furio Chirico with the guitarist Gigi Venegoni, the bassist Marco Gallesi, the violinist Giovanni Vigliar and the saxophonist and vibraphonist Arturo Vitale. They made their debut that year at the Parco Lambro festival in Milan, the so-called Italian Woodstock, and signed to Cramps Records, which issued Tilt (1974) and Giro di valzer per domani (1975). Italian Wikipedia describes the second record as putting more weight on jazz rock, and Crovella is credited on both with Hammond organ, piano, electric piano, Mellotron and synthesizers, as well as a share of the writing. The band toured Italian theatres with Premiata Forneria Marconi, and its style is described as progressive rock played with advanced jazz harmony, or as symphonic jazz rock.

As the band's lineup began to change in the late 1970s, Crovella worked as a composer and studio musician. In 1978 he scored the documentary I care, about Don Milani, for the RAI director Sergio Ariotti, and he went on to write music for RAI television, radio and documentaries, including a 42-episode travel series. He also wrote for animation: his scores for Altan's La Pimpa and Kamillo Kromo, directed by Enzo D'Alò, won two international awards. By the mid-1980s he was working as a sound engineer and producer, and Discogs ties him to Synergy Studio near Turin and lists more than 200 releases carrying his name in some role, from the Italian underground, prog, pop and jazz scenes. One jazz entry from that period is In High Gear (1989), a Jazz Studio Orchestra record he mixed.

In the 1990s he founded Electromantic Music as a publishing house and then a record label. A profile at the International Archives for the Jazz Organ counts more than 150 productions with 41 artists, distributed worldwide through Maracash and in Italy through Self. His own first records as a leader came in 1992 with Kings of Clubs, a Synergy LP that Discogs files as soul-jazz and jazz-funk, and Hammond Homage 1: Lucio Battisti, an organ album of twelve songs by the Italian songwriter. In 1993 he played organ on, and produced, recorded and mixed, Transamazzonica, a Latin jazz record by the Chirico Camarca Project, a group led by Chirico and the guitarist Giulio Camarca that plays "Blue Bossa" and "Love for Sale." In 1994 he engineered Hammond Blood, a baritone saxophone and organ trio record by Bruno Marini.

By the end of the decade five of the original members of Arti & Mestieri had reunited, and the band went on to Murales and to Japan, where Crovella also played with his own trio, C3, with Chirico and the bassist Roberto Cassetta. A set from that trio, recorded January 30, 2006 at STB 139 Sweet Basil in Tokyo, was issued on DVD as Live in Tokyo in 2018. The band's First Live in Japan came out on the American label MoonJune in 2007, and the label's founder, Leonardo Pavkovic, became a regular partner, including as tour manager.

His solo work from the 2000s runs in three directions. Pianovagando (2009) is a solo acoustic piano album of short pieces that John Kelman reviewed for All About Jazz, noting that Crovella swings on a few tracks and that "Studio 1" is the most overtly jazz one. What's Rattlin' on the Moon? (MoonJune, 2010) re-imagines ten compositions by Mike Ratledge of Soft Machine on analog keyboards and adds original pieces in the same spirit; All About Jazz reviewed it through Kelman and Nic Jones. Soulful Traffic (2010) is a blues and R&B album on which he plays most of the instruments and brings in guest drummers including Steve Gadd on two tracks, Clive Bunker, Mark Schulman and Kenwood Dennard, with the guitarist Frank Gambale on one. He then released Al mio paese (2011) and a suite of seventeen pieces, Le 17 contrade del Palio di Siena (2013).

His studio has also served jazz and jazz-rock artists from abroad. Crovella recorded the Soft Machine Legacy album Burden of Proof at the Electromantic Synergy Studio in San Sebastiano da Po in August 2012, for release on MoonJune in 2013. He recorded the Cuban drummer Horacio "El Negro" Hernández's Italuba II (2006), mixed by Dave Weckl, and was sound engineer on the Paolo Ricca Group's Mumble (2018), a jazz-rock record on which the English guitarist John Etheridge guests.

Crovella is best described as a progressive-rock and jazz-rock keyboardist whose jazz side is real but sits alongside work in other idioms. His signature instrument is the Hammond organ, with Mellotron, Rhodes, Wurlitzer, Clavinet and Minimoog around it, and Italian Wikipedia notes that his solo albums lean on vintage keyboards. The International Archives for the Jazz Organ quotes Brian Auger calling his Hammond work a valuable addition to the instrument's recorded library. His Soft Machine tribute shows where his harmonic and textural taste comes from: the Canterbury line of jazz-rock keyboardists, rendered in dense layers of analog sound. His piano playing is a different mode, which Kelman described as simple and direct, with only a loose connection to traditional jazz. Outside jazz he is also a songwriter, a composer for television and animation, and an arranger of pop and soul material, and Italian Wikipedia counts more than 600 of his themes used on records or media. The jazz tags here reflect the jazz-rock of Arti & Mestieri and his recorded work with jazz musicians, not a career spent on the bandstand in straight-ahead jazz.