As a Paigntonian, I feel the need to correct a point of fact in FilmFlaneur's review, which by the way, in all other respects I found to be excellent, erudite, expansive and extremely interesting.
However, FilmFlanuer states that The System was filmed in Torquay and Brixham, but it was predominantly filmed in Paignton. Scenes beneath Paignton Pier and at The Harbour Lights restaurant (used as a flat in the film) spring to mind immediately, even 50+ years after seeing some of the filming personally and about 30 years since I last saw the film itself. .