In Chile, the NAVIMAG ferry from Puerto Natales (nearest is LA city is Punta Arenas) to Puerto Mont is brilliant. It's a RORO freight ferry with passenger accommodation. A fantastic way to see some of the most beautiful scenery in the world.
From Punta Arenas, LA used to fly to the Falkland Islands (MPN). This service is on again and off again - depends on the politics between Chile and UK. Worth it if you can get it.
The "continent" of the Falklands can be debated by airlines. Originally, QF said it was part of Europe ! Eventually they saw the lunacy of this suggestion.