There is a thread in the S. America forum about Easter Island - lots of good info there if you want to check it out.
Besides charters, LAN is the only airline that files there. Great place to go. I spent 4 nights there last month. Lots of hiking, moai (stone statues), caves and scenery. I could have spent another couple of nights on the island (another hike and a boat tour) but didn't have the time. Thanks to the BA 100K mile offer I flew there in business class

Doing the same thing next year (thanks to the same BA offer).
LA business class to IPC from LIM (and SCL) is fully lie flat, right? (I am going via LIM as it's a bit longer fligher and at night so can really sleep then and connection in LIM works out better with no wasted time.)