The follow-up album to Outward Bound, Eric Dolphy's second effort for the Prestige/New Jazz label (and later remastered by Rudy Van Gelder) was equally praised and vilified for many reasons. At a time when the "anti-jazz" tag was being tossed around, Dolphy's nonlinear, harshly harmonic music gave some critics grist for the grinding mill.

The Buddy De Franco-Tommy Gumina Quartet made a sensational debut at Hollywood’s “Pick-a-Rib” night club in March 1960, playing assertive, driving modern jazz. In this new setting, Buddy’s fleet, fluid clarinet gained an exciting, fresh context with jazz accordion virtuoso Tommy Gumina.

The Centaur and the Phoenix is an album by multi-instrumentalist Yusef Lateef recorded in 1960 and released on the Riverside label.

We Insist! (subtitled Max Roach's Freedom Now Suite) is a jazz album released on Candid Records in 1960. It contains a suite which composer and drummer Max Roach and lyricist Oscar Brown had begun to develop in 1959 with a view to its performance in 1963 on the centennial of the Emancipation Proclamation. The cover references the sit-in movement of the Civil Rights Movement. The Penguin Guide to Jazz awarded the album one of its rare crown accolades, in addition to featuring it as part of its Core Collection.

The Many Moods of Ann Richards is the 1960 solo album recorded by Ann Richards and her second release for Capitol Records (Capitol T-T-1406, stereo). The arrangers for the sessions are Ralph Carmichael, Bill Holman, and Tak Shindo.

Cry! – Tender is an album by multi-instrumentalist Yusef Lateef recorded in 1959 (with one track recorded in 1957) and released on the New Jazz label.

A Night in Tunisia is a jazz album by Art Blakey and the Jazz Messengers which was recorded in August 1960.

Orlando Silveira de Oliveira Silva (Rincão, May 27, 1925 — Rio de Janeiro, December 22, 1993), more known as Orlando Silveira, was a Brazilian accordionist, maestro, composer and arranjador.

Della by Starlight is the seventh album by jazz singer Della Reese, and her second for RCA Victor.

"Little Stevie Wonder, Tamla's 11-year-old musical genius, is blind, a similarity he shares with a famed musician and vocalist of today," shamelessly announce the liner notes of this album. Unfortunately, Wonder at 11 does not share much of Ray Charles's vocal abilities, even when he is singing Charles' songs (others are "originals in the style of his idol") and, since he doesn't play on the record, there's no similarity there either. Today, listening to a child emote his way through songs like "Drown In My Own Tears" is a curiosity at best, and the album is only for hardcore Wonder fanatics.

Christmas Carousel is a 1960 studio album (see 1960 in music) by Peggy Lee, arranged by Billy May.

Like in Love! is the debut album by the American vocalist Nancy Wilson, it was released in April 1960 by Capitol Records, and arranged by Billy May.

Last Night Blues is an album by the blues musician Lightnin' Hopkins, with Sonny Terry, recorded in 1960 and released on the Bluesville label the following year.

Out There was the second album for the Prestige subsidiary New Jazz by the inestimable multi-reedman / composer Eric Dolphy (1928-1964).