Help me build up a jazz album collection. Can you suggest a must have album?

Not all jazz, but "Mose Alive" (Mose Allison) is good.

Look for an original Atlantic pressing.

DeKay

Dave Brubeck's-"Time Out" Columbia 45 rpm pressing CS 8192

Art Blakey's- "Just Coolin"-Blue Note pressing ST-64201

Paul Chambers-"Bass on Top"-Blue Note pressing BST 81569

Ella Fitzgerald & Billie Holiday at Newport-(side A is Ella recorded  July4th,1957)

(side B is Billie recorded July 6th-1957) Both pressing originals by Verve Records

pressing MG V-82341-1958-

Current re-release by Not Now Music (visit--

https://www.notnowmusic.com

Ella Fitzgerald & Louis Armstrong-Verve pressing-MG V 4003

Enjoy the music.

PS: The Ella and Billie recording from Not Now is mono.  Also there were some sound quality "challenges" back in day of live recording.  But it is Ella and Billie albeit toward the end of Billie's career when her voice had developed a "patina".

Lennie Tristano and his star pupil, my teacher, Sal Mosca. Has anybody mentioned Armstrong? Not a jazz collection overall without him. Lester Young with the Nat Cole Trio will have you humming his solos all day long, and his solo on "Embraceable You" on the "Charlie Parker Jazz at the Philharmonic 1949" album is one of the greatest of all saxophone improvisations. And don’t neglect the best of the big bands and swing. As Duke Ellington said, "All the audiences are still there."

Count Basie - Basie Big Band

Toshiko Akiyoshi/ Lew Tabakin Big Band - Long Yellow Road