+1 for Joe Henderson State of The Tenor. One more favorite is Chick Corea Trio "Trilogy" 3 CD set of Corea, Christian McBride and Brian Blades. The sound quality of this collection puts most studio recording to shame.
List some of your favorite live Jazz recordings
Here are a few of mine, in no particular order:
Jackie McLean: Dynasty
Betty Carter: The Audience With Betty Carter
Bill Evans: Live at the Village Vanguard
Gary Bartz: There Goes the Neighborhood
Abraham Burton: The Magician
Joe Henderson: State of the Tenor
Dave Holland Octet: Pathways
Stanley Cowell Trio: Live
Cannonball Adderly: Live at the Lighthouse
Michel Petrucciani: Complete Concert in Germany
NHOP: The Unforgettable NHOP Trio Live
Woody Shaw: Live in Bremen, United, Master of the Art,
Sarah Vaughan: Live in Tokyo
John Coltrane Quartet: Live at Birdland
George Coleman: Live at Yoshi’s
Stan Getz Quartet: Live in Paris
Miles Davis Quintet: Four and More, Live in Antibes, Live at 1963 Monterey Jazz Festival and My Funny Valentine.