"The Complete Riverside Recordings" and similar titles usually refer to compilation releases of material recorded by Riverside Records, including:
Thelonious Monk: The Complete Riverside Recordings by pianist Thelonious Monk The Complete 1957 Riverside Recordings by Thelonious Monk and John Coltrane Wes Montgomery: The Complete Riverside Recordings by guitarist Wes Montgomery Bill Evans: The Complete Riverside Recordings by pianist Bill Evans - see Bill Evans discography#Compilations The Freelance Years: The Complete Riverside & Contemporary Recordings by saxophonist Sonny Rollins