List some of your favorite live Jazz recordings

Ahmad’s Blues - Ahmad Jamal’s unbelievable performance and trio captured at the Pershing in Chicago with the clinking of cocktail glasses ushering in the sound that changed Miles Davis and all of jazz. In the expanded editions it featured his recording of poinciana which was a chart topping hit!

+1 Lee Morgan

I second the Chick Corea Trilogy series (both 1 and 2). Also, if you Chicks’s Trilogy, the “Chick Corea Akoustic Band Live” is equally outstanding. 
 

For those that like Miles Davis’ Live-Evil, “The Cellar Door Sessions” 5-CD box set will give you all the shows that Live-Evil was culled from. Might be hard to find now. 
 

@stuartk 

I don’t know if anyone responded to your comment “I haven't heard any live Harrell recordings. Have you?”  ….Tom has a “Live At The Village Vanguard” recording which is very good. Also, there is a DVD release of Horace Silver’s band playing somewhere in Europe with a younger Tom on trumpet. 

The Art Blakey Quintet “A Night At Birdland”  Vol. 1 and 2
Classic lineup, classic venue

@nicotico 

I don’t know if anyone responded to your comment “I haven't heard any live Harrell recordings. Have you?”  ….Tom has a “Live At The Village Vanguard” recording which is very good. Also, there is a DVD release of Horace Silver’s band playing somewhere in Europe with a younger Tom on trumpet. 

As a sideman, he also worked with Phil Woods and that group released at least one live album: "integrity". 

Seems there are two live "Vanguard" releases as a leader: 2002's "Live at the Village Vanguard" and 2013's "Colors of A Dream: Live at the Village Vanguard".