One O'Clock Jump (With Woody Herman And Buddy Rich)?

Uncertain if played and recorded.

In 1982 Ray Charles guested at a Buddy Rich TV show at the Statler Hotel in New York. Peter Turre, Ray's drummer, remembered that they participated in the finale with Woody Herman and Buddy Rich, possibly playing One O'Clock Jump.
Unfortunately, the footage with Ray has not been published, but the Drum Channel has promised that "more" (but how much more, and when?) will once be released.

Ray Charles Ft. In The Buddy Rich Show (1982)

In 1982 Buddy Rich filmed three shows over three days at the Statler Hotel in New York.
Ray Charles guested; on the second show he performed Georgia On My Mind, and Busted (his 'own' percussionist, Pete Turre, playing on Buddy's drums). With Buddy and Woody he also participated in Cousins.*.
Parts of the recordings were edited in Buddy Rich - Up Close, but without any of the guests.
Update 1 May 2019: The Drum Channel has started a crowdfunding for the DVD-release of all 3 performances: The Buddy Rich Show.

Buddy Rich - Up Close. 2-DVD, Drum Channel, 18 October 2011.
The Buddy Rich Show. 2-DVD, Drum Channel, proj. 2019.

*Details kindly provided by Peter Turre.

This partial audio recording includes Busted (from 1:02:56):


Promo A:


Promo B for the crowdfunding (with parts of Georgia, Busted and finale):

Ray Charles On The Woody Herman Show (1982)

Clipping: from Billboard.

After Hours (video still).

In 1982 Woody Herman produced 3 TV shows, in New Orleans, directed by Rick Gardner. As per April they were ready for syndication. Ray Charles guested in one of them, playing with Woody and the Woody Herman Orchestra.

The other guests were singers Natalie Cole, Jack Jones, and Lola Falana, Al Hirt on trumpet, and The Heritage Hall Jazz Band. Source.

After a brief cross talk with Woody, Ray played:

• Then We'll Be Home (Sadies Tune)
• I've Got News For You (with Woody Herman, singing some verses) 
• After Hours (with Woody Herman on clarinet)