Kind of Blue

Duke Ellington:  A Drum Is A Woman
Max Roach:    Freedom Now Suite
Count Basie:  too many to choose from
Art Blakey and the Jazz Messengers:  Reflections in Blue
Supersax Plays Bird
Dave Pell:  Prez Conference
Blossom Dearie:  Give Him the Ohh-La-La
Catherine Russell:  Bring It Back
Clark Terry & Max Roach:  Friendship
Clifford Brown & Max Roach
John Coltrane & Johnny Hartman
Dexter Gordon:  Doin' Alright
Woody Shaw: Rosewood
Ella & Louis
Fats Navarro: Nostalgia
Woody Herman 1958
Sinatra at the Sands (with the Count Basie band)
Freddie Hubbard:  Hub-Tones
Horace Silver:  Song For My Father
Gal Costa:  Aquele Frevo Axe
Julie London:  About The Blues
Peggy Lee:  Come Rain or Come Shine
Real Vocal String Quartet:  Four Little Sisters
 

Mingus Mingus Mingus Mingus Mingus...

Like most of what is posted here.  For reference I prefer music from instruments that don't plug into the wall, that you can actually hear the lyrics and that one does not jump up and down to listen to.  That said, guitar is a favorite and Joe Pass wasn't mentioned. Great talent like Jim Hall.

This is an incredibly tough question, given that jazz varies so much.  KOB is obviously a classic, of course, as is Take Five.  But my go-to morning coffee recording is Bill Evans Live at the Village Vanguard -- a masterpiece.  I am also a vibraphone nut, so I love Gary Burton, MJQ, and Lionel Hampton.  Wes Montgomery for guitar, and sax . . . Lester Young (especially his 50's recordings, which are maybe not his peak, but are very well-recorded), Ben Webster, Stan Getz, just too many to name here.  

But for all you Jazz aficionados, if you haven't listened to The Sound of Jazz, which is a soundtrack for a TV show that is available on YouTube and is available as a Blu-Ray CD, you absolutely must.  That is an all-star cast, including Billie Holiday and Lester Young.  It is EPIC, both as just audio and to actually watch the show and see them play!  The soundtrack is slightly different from the show, as it was recorded a day earlier, but both are stupendous!

I'm surprised how few mentions of Joe Henderson there are.  He's always been a favourite of mine.  State Of The Tenor is a must have for any jazz fan.  And the  subtle treatment he adds to Idle Moments by Grant Green.