groovin organ based soul & jazz

This got to be such an over-played and over-commodified genre pretty quickly, but the best cuts by the best players still stand up. Most of the important practioners are mentioned above, so I'll just add that one of the main ingredients in the classic 'organ-trio' lineup was the electric guitarist, and Kenny Burrell's work in this format was the undisputed prototype here.

A great album is Charles Earland's Jazz Organ Summit. It's got Lonnie Smith, Johnny "Hammond" Smith, Jimmy McGriff, and Charles Earland, all on the same stage. Great stuff.

One Faded Rose version 2 by The Crickets/Charlie Phillips.  

Correction:. Buddy Holly actually  not the Crickets.  

These will surely satisfy:
Lonnie Smith - Live at the Club Mozambique
Soulive - Turn It Out
Don Patterson & Booker Ervin - Legends of Acid Jazz
Reverend Organdrum - Hi-Fi Stereo
Ron Levy - Zim Zam Zoom