Peel doesn't mention the track title of Test Department for obvious reasons - although an Austrian band [1] influenced by Test Department took it as their name.
Peel plays a cover of Ben E. King's Stand By Me by Phillip James, little realising that the original would soon rechart internationally for multiple reasons.
The playlist includes vintage tracks from a variety of genres - rock'n'roll and rockabilly (Jerry Lee Lewis, Jo Ann Campbell), 1960s soul-jazz (Jimmy McGriff), 1940s modern jazz (Dexter Gordon) and reggae (Burning Spear).
Peel mistakenly calls the Jasmine Minks track Force's Favourite, instead of Force's Network.
The opening link and part of the opening track of this show can be heard on File 2, taken from the first edition (4 May 1986) of Radio 1 More Time, a programme which reviewed the week on the station (this was hosted in turns by most of the station's presenters, and Peel himself fronted it on a number of occasions).
Files 3 & 4 are from the same tape but the Youtube version originally shared would not work due to auto copyright protection of the Cabaret Voltaire track, so a shortened version is available on YouTube and the full version has been uploaded to the Mooo