Kynance Cove at low tide
seconded!

If you want suggestions for a couple of decent walks/seascape opportunities near The Lizard I can offer:

Park in the car park at Lizard village and take the track almost due west down to the coast, then walk south around the coast path past lizard point the lighthouse, the lifeboat station and around as far as Church cove then walk back up to the village.

Park in Porthleven and catch the bus to Praa Sands then walk back along the coast path past old mine engine houses on the cliffs. Decent view of Porthleven as you descend back to the town and a decent pub at the end of the harbour where the path comes down. Make sure you time it right so its open when you get there!