Besides the Uncharted series, when thinking about games that remind me of the recent Tomb Raider in some ways... Assassin's Creed III is one such recent game that pits its main protagonist Connor against the wilds of an open frontier. Through the forests of the game you'll be able to hunt for livestock with traps, including deer, wolves, and bear. Also roaming around with a crossbow, you may feel some closeness to being Lara in this third-person action-adventure.
Then again, I Am Alive is another recent entry that fits into a world of survival where the character is human and must survive against harsh odds in various ways. For instance, you'll often come across groups of enemies having only limited means of resources available to you. Whether you're outnumbered by their guns, whether you only have so many bullets left to use, or whether you have to brush against the deadly ash storms that are ravaging this world, there's also quite a bit of scaling objects to do around the levels in this third-person game of survival.