Right now, BBC6 is running "In My Life: John Lennon Remembered" a multi-part series originally broadcast in 1990 which is as much about The Beatles as Lennon.
The BBC radio shows are archived online for seven days so that people can listen when they choose to. Unlike BBC TV, BBC Radio programming can be heard anywhere in the world. The series started on November 28, so hurry up if you want to hear it all. Here's a link to help.