Cape Cornwall is the UK's only Cape and it fulfills it's duty with pride. The coastline here is as rugged as anywhere in the Duchy and for me, knocks spots off Lands End with it's relentless "let's have your money" approach to visitors. The best way to appreciate the area is to walk part of the coastal pathway, and my advice is to walk north towards the amazing old mining area of southwest Cornwall where you'll see many abandoned engine houses high on the cliff tops silhouetted against the sky, and some way down on the rocks, almost in the waves.
The chimney on top of the Cape was that of the old St Just United mine whose workings ran for at least half a mile out beneath the seabed but the entire area is littered with roofless engine houses and old chimneys, real reminders of an industry that Cornwall has now all but waved goodbye to. On a reasonably clear day you can see the Brison Rocks, several hundred yards offshore, often referred to as "Charles de Gaulle in the bath" for obvious reasons.
There is parking at the bottom of the hill that runs out to the Cape from St Just and sometimes a tea shack but don't expect more than this. Cape Cornwall is as Cornwall should be seen, wild, rugged, natural and virtually untouched by human hand.