I love Dungeness. Other than the landscape, you could go and have a look at Derek Jarman’s garden. Although not too much of a look, because his partner still lives there and it’s a bit rude to get too close.
There’s also a lifeboat station if looking at a big boat is something you might be into. And if you want to queue half an hour for a posh fish finger sandwich, the Dungeness Fish Hut/Snack Shack will sort you out.