Ron Nasty said
On 14 October radio station BBC 6 Music have a couple of White Album  related programmes.

Mary Anne Hobbs’ show (7-10am UK time): “Producer Chris Thomas recalls his work on the Beatles’ White Album .”

Even more exciting though is…

6 Music Celebrates the White Album (2-6pm UK time): “How to follow Sgt. Pepper ‘s Lonely Hearts Club Band? The Beatles found the answer in a sprawling double album of variable quality with no hint of a ‘concept’, and packaged so plainly as to distance it from their psychedelic masterpiece. The Beatles was its title but everyone called it the ‘White Album ‘, and it contained such classics as Blackbird , Dear Prudence  and While My Guitar Gently Weeps  alongside more forgettable fare like Don’t Pass Me By . As its 50th anniversary approaches (it was released in November 1968), Martin Freeman looks back with Giles Martin (son of the album’s lead producer George Martin), Bill Nighy, David Quantick and Nile Rodgers.”

The second looks particularly interesting as, with Giles’ involvement, there has to be a reasonable chance it’ll include some of the outtakes and demos included on the upcoming deluxe and super deluxe, along with Giles’ remix.

EDIT: Just found the BBC announcement of the show – which has it broadcasting 3-6pm, but is wrong as it states it’s a four hour programme:

In celebration of National Album Day, award-winning actor and huge fan of The Beatles Martin Freeman presents this four-hour special on The Beatles’ revolutionary 1968 release The White Album . With enlightening, entertaining and surprising insights into the record, this celebration includes live performances and in-depth appreciation by fans, experts and critics.
With special guests to introduce and explain a sample of never-before-heard material from the album’s original fabled Esher sessions at George Harrison ’s house, this will also be a live Listening Party for the whole original double album, with all the tracks played, enjoyed and discussed over an afternoon with the finest commentators and contributors.

With his knowledge and expertise, Martin will be digging deep into key tracks, breaking down their groundbreaking musical structure, composition and lyrics. He will also be hearing master tapes and going behind the scenes at Abbey Road , meeting both those who worked on the original album and on the new mixes for the release later this year. He will explore the turbulent times of 1968 – a period, reflected on the album, when peace and love started to evolve into something different.

Martin will investigate the influence of the album in the many covers and samples, from Dangermouse to Wu-Tang Clan. Guests and contributors will include producer Giles Martin – son of Beatles’ producer Sir George Martin, actor Bill Nighy, Gail Renard (a Canadian broadcaster who got to know John and Yoko at the Montreal bed-in), master musican and producer Nile Rodgers, journalist John Harris and actor John Simm. It will feature BBC archive clips of John, Paul, George and Ringo, Sir George Martin, Chris Thomas and others recorded at the time.

This programme is part of BBC Music’s support for the first ever National Album Day, which takes place on Saturday 13 October with programming on Radio 1, 1Xtra, Radio 2, Radio 3, Radio 4, 6 Music, BBC One and BBC Four across the week or on the day itself.

Presenter: Martin Freeman

Producer: Mark Simpson for the BBC

  

In addition to the above, Radio 6 are broadcasting ‘A Beatles Playlist’ from 6pm to 8pm on the 14th (today).  

BBC Radio 6 – 14th October 2018

‘50 years of The White Album‘ – 7am -> 10am

‘6 Music Celebrates ‘The White Album” – 3pm -> 6pm

‘A Beatles Playlist‘ -> 6pm -> 8pm

All will be available to listen to on the BBC iPlayer shortly after they have been broadcast.