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

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

Two sides of jazz, east coast and west coast. Two different sounds.

Many have recommended great east coast jazz albums. To add some great west coast artists:

Art Pepper, saxophone, any album any time in his great career

Chet Baker, trumpet, especially the early years

Shelley Manne, one of the great drummers and band leaders

Lastly, a brand new but going to be one of the all time great jazz singers (4 Grammy awards at the age of 24) SAMARA JOY

  -GAR

https://www.jazzwise.com/features/article/the-100-jazz-albums-that-shook-the-world

Esbjorn Svennson Trio “Plays Monk”

The Ray Brown Trio   “Soular Energy” 

Les Meccan & Eddie Harris  “Swiss Movement”

Stan Getz “Bossas and Ballards” 

Kurt Elling “The Gate”

Benny Green Trio “Greens”

Art Pepper “The Trip”

Mary Lou Williams Trio “Free Spirits”

Frank Morgan “A Lovesome Thing”

Wayne Shorter”Speak No Evil”