Are there really? I can only think of Uncharted. Except the Tomb Raider reboots have light exploration / open world elements which Uncharted doesn't have, as far as I know.
Since I am not a Playstation gamer I am happy that something similar to Uncharted comes on 360/XB1. But, I get where you're coming from in terms of no more games like the original Tomb Raider existing. Tomb Raider Anniversary is one of my favourite games from last gen, and as you said you kill almost no one in that game. The game is separated into absolutely gigantic levels, and the levels themselves are huge puzzles. You're all alone, exploring, climbing, jumping, trying to make out where to go next or how to finish a puzzle, and you only fight briefly when some wolf or bear jumps out at you randomly once every two hours.
Maybe it is too expensive to make a game like the original Tomb Raider Anniversary because the actual audience for a Tomb Raider game with only puzzle is too small, so there will be no opportunity to make back the investment. Which is definitely sad.
I agree there need to be more games like the original Tomb Raider, but I don't agree that there are many games like Tomb Raider Reboot.
One thing to note is that Crystal Dynamics do have their Lara Croft series which is extremely heavy on puzzle solving. But those games are played top down. I still enjoyed both Guardian Of Light and Temple Of Osiris.