I'm on the mailing list for these wonderful people who collect and restore the old Peel shows. The best place to get hold of any that contain Pulp stuff is to go to the John Peel wiki. It's an amazing resource, and loads of the stuff is downloadable.

The only vaguely contemporaneous 80s Pulp as played on Peel are both included on the first Pulp Portfolio. There's a snippet of Peel talking after the first (only?) play of Everybody's Problem, and also the final track from the first Peel Session, as recorded on its 1982 repeat.