Jazz

My brother in-law asked me for some Jazz recommendations so here are a few spanning different jazz periods and styles (albums in parenthesis).

Trumpet:
Louis Armstrong (Hot 5's and 7's)
Miles Davis (Birth of Cool, and Kind of Blue)

Trombone:
JJ Johnson (Live at the Village Vanguard)
Wycliffe Gordon (BloozBluzeBlues)

Sax:
Charlie Parker (The Essential Charlie Parker)
John Coltrane (Giant Steps)

Piano:
Thelonious Monk (Blue Monk)
Art Tatum (Art Tatum Solo Masterpieces)

Big Band:
Count Basie (Complete Decca Recordings)
Artie Shaw (The Essential Artie Shaw)
Stan Kenton (New Concepts of Artistry in Rhythm)