The Grammy Award for Best Album Cover - Other Than Classical was awarded from 1962 to 1965, alongside the award for Best Album Cover - Classical. For these years this award replaced the combined award for Best Album Cover.

Years reflect the year in which the Grammy Awards were presented, for works released in the previous year.

1960s

• Grammy Awards of 1965
  • Robert Cato (art director) & Don Bronstein (photographer) for People performed by Barbra Streisand
• Grammy Awards of 1964
  • John Berg (art director) for The Barbra Streisand Album performed by Barbra Streisand
• Grammy Awards of 1963
  • Robert M. Jones (art director) for Lena...Lovely and Alive performed by Lena Horne
• Grammy Awards of 1962
  • Jim Silke (art director) for Judy at Carnegie Hall performed by Judy Garland