To end debate: Ka Lae light southwest point of Big Island. You can deabate whether it is a lighthouse or not. Note in quote below it is referred to as a lighthouse.

"This is the main and only blinking beacon lighthouse type warning device for the south point in case you are a boat and haven't already recognized that there is land here. Note that the Kalalea Heiau is in front of it so the Hawaiians really had the idea first of putting a navigation marker at this location."