Bands - clue in the name in these!
Original Dixieland Jass Band - Livery Stable Blues (1917)
New Orleans Rhythm Kings-Tin Roof Blues
Clarinet
Sidney Bechet (also soprano sax) Sidney Bechet - The Fabulous Sidney Bechet (1951-1953) [Complete CD]
Cornet/trumpet:
King Oliver King Oliver's Creole Jazz Band - Dipper Mouth Blues (1923)
Louis Armstrong (and vocals) Louis Armstrong - West End Blues - Louis had a long career so is not confined to 1920s but most associated with early jazz. Performances with his Hot 5s and Hot 7s are early jazz
Trombone
Jack Teagarden Jack TEAGARDEN & His All Star Group " Basin' Street Blues" !!!
Piano
Jelly Roll Morton Doctor Jazz - Jelly Roll Morton
Earl Hines (pianist on West End Blues)
BIG BAND / SWING 1930s-early 40s
Clarinet and bandleader
Benny Goodman (and vocals) "SING, SING, SING" BY BENNY GOODMAN
Artie Shaw Artie Shaw - Beguin The Beguine ( Cole Porter )
Alto Sax
Jimmy Lunceford JImmie Lunceford And His Orchestra
Tenor Sax
Coleman Hawkins - but note despite 1939 date, style has similarities to Cool Jazz and he also played Bebop with Charlie Parker Coleman Hawkins-Body and Soul
Trombone and bandleader
Tommy Dorsey (and vocals) Opus One - 1943 Stereo - Tommy Dorsey
Piano and bandleaders
Duke Ellington Duke Ellington, "Take the A Train"
Fats Waller (stride) Fats Waller - Ain't Misbehavin' - Stormy Weather (1943)
Hazel Scott Takin' A Chance--Hazel Scott
Fletcher Henderson Fletcher Henderson - Wrappin' It Up - N.Y.C. 12.09.34
Billy Strayhorn Take The A Train - Billy Strayhorn
Drums
Chick Webb Chick Webb - STOMPIN' AT THE SAVOY
Gene Krupa Gene Krupa "Sing, Sing, Sing" on The Ed Sullivan Show
Buddy Rich Buddy Rich | Caravan
Vocals
Ella Fitzgerald (also Bebop) Ella Fitzgerald and Duke Ellington "It Don't Mean A Thing (If It Ain't Got That Swing)"
Louis Armstrong (also early)Louis Armstrong "Swinging On Nothing" 1942
Billie Holiday (also Cool) Billie Holiday and Count Basie at Carnegie Hall (1954)
BEBOP - 1940s
Alto Sax
Charlie Parker ‘Bird’ Charlie Parker-Chasin' the bird
Trumpet
Dizzy Gillespie Dizzy Gillespie feat. Charlie Parker - A Night In Tunisia
Young Miles Davis (pre Cool Jazz) Bebop (feat. Miles Davis)
Piano
Thelonious Monk (although his playing defies genre!) Thelonious Monk - Suburban Eyes
Bud Powell Bud Powell-Be Bop
Drums
Max Roach Max Roach Quintet | Live at the Alhambra, 1960 (Paris / France) | Qwest TV
COOL JAZZ - 1950S
Alto Sax
Lee Konitz (Birth of the Cool) Miles Davis, Stan Getz, Lee Konitz - Indian Summer (Official Audio)
Paul Desmond (Dave Brubeck Qtet) Unsquare Dance
Tenor Sax
Stan Getz Stan Getz / Moonlight In Vermont HD
Trumpet
Miles Davis Miles Davis - All Blues (Official Audio)
Chet Baker (and vocals) Chet Baker - But Not For Me (tpt) Chet Baker: "My Funny Valentine" 1954(vocal)
Baritone sax
Gerry Mulligan Walkin' Shoes (With Chet Baker)
Piano
Claude Thornhill - actually Bigband in 1940s but Cool in style Claude Thornhill & His Orchestra - Snowfall (Columbia Records 1941)
Gil Evans Gil Evans & 10 ( Full Album )
Dave Brubeck Dave Brubeck Quartet - Three To Get Ready
Guitar
Johnny Smith Johnny Smith Quintet - Moonlight in Vermont
Drums
Joe Morello Far More Drums
Bass
Paul Chambers You'd Be So Nice To Come Home To (Rudy Van Gelder Edition; 2007 Digital Remaster)
Charles Mingus 1964 - Charlie Mingus solo - Mingus Sextet in Europe