Later this month the Shackleton Epic expedition is going to attempt to historically recreate what is probably the most famous and amazing story of survival, the James Caird voyage from Elephant Island to South Georgia Island and the crossing of South Georgia Island. The expedition is using historically accurate gear and a replica of the James Caird lifeboat that Shackleton and five of his crew used to get to South Georgia Island and get help to rescue the rest of the Endurance crew after their lost their ship sunk in the Antarctic in 1915. They will have some modern help available, though, as a ship will follow them for filming as well as to offer support if necessary.
You can follow the expedition on their Facebook page here. They also have a website here, but at the time of this post it appears to be down.