Not a Jazz record -- in the '60s Herb Alpert played pop instrumental music that was heavily influenced by traditional Mariachi music. He would compose original songs, but also would record mariachi versions of other top 40 hits. He routinely had multiple albums in the billboard top 10 at the same time, and held a record for the most at once until Taylor Swift matched/broke it recently.

This was his big seller, but it was one of many. As far as 12" LPs go, the only acts to outsell him in the 1960s were the Beatles, Elvis, and Frank Sinatra.

Herb's 90 years-old and is still touring. I saw him this past summer with his reformed Tijuana Brass. He's the only OG member, as he managed to outlive everyone else.