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

I sounds like you would enjoy. 

Three For All. 

Phil Woods, Tommy Flanagan, Red Mitchell

https://www.discogs.com/release/2741480-Phil-Woods-Tommy-Flanagan-Red-Mitchell-Three-For-All

Iʻve got an ad on US AudioMart, selling out my jazz collection.  All of the Miles Davis, Art Blakey & the Jazz Messengers, as well as most of the hard bop is gone.  But among the things I have left which are well worthy of your consideration are the albums by the Frankie Capp/Nat Pierce Juggernaut Big Band, Poncho Sanchez, the Dizzy Gillespie Paris Concert, Andy Narell (steel drums), Frank Rosolino and most of all - a must have "Supersax Plays Bird" (MFSL pressing).

$8/record


https://www.usaudiomart.com/details/650175791-jazz-records/

I've enjoyed this discussion of artists, labels and specific albums and can't quibble with most of it, but unless I missed it, there's scant mention of Duke Ellington's big band work on Columbia (Blues in Orbit, Jazz Party, Indigos and others) or his later small ensemble work on Pablo. The Duke's earlier work is also magnificent too but, as others pointed out, is best enjoyed with a dedicated mono phono cartridge. Also, MPS issued some excellent sounding records in Europe. 

Big Band Basie by the Depaul University Jazz Ensemble with some renowned guests such as Count Basie and Quincy Jones. The performance is above average for a college band, but what made me sit up and take notice was the production. When I checked the liner notes, it was recorded by Keith Johnson of Reference Recordings fame. The music is performed without significant flaws and it is enjoyable, but the recording is superb.

Let's not forget The Dave Pell Octet !  I know that the sound of an octet might not be everyone's "Cup O' Tea" but Dave had a handle on a totally unique sound.  My absolute favorite of his was his arrangement of "Mountain Greenery".  Check it out ----- you won't regret it !     [We ALL say that !]