Round The Horne, Beyond Our Ken, The Clitheroe Kid, The Navy Lark, The Men from the Ministry, Take It from Here, Hancock's Half Hour and many more similar programmes can be heard online on ROK Radio's British Comedy Channel:
http://rokradio.com/
Round the Horne, for example is on at these BST times. (Note that the times in ROK Radio's schedules are actually shown in GMT):
Monday 0430 & 1630
Tuesday 1030 & 2230
Wednesday 0530* & 1930*
Friday 0430 & 1630
Saturday 0630*, 0830 & 2030
Sunday 0500 & 1700
(Programmes marked * are on the Old Time Gold channel, not on the British Comedy Channel)