No, I'm not going to list you every action / adventure game with a third person view available on the market and pretent it looks like Tomb Raider. We're looking for tombs, exploration, traps and treasure hunting here. That is the definition of a game similar to Tomb Raider.
So here's a list of the best alternative to Tomb Raider that I recommend you to play.
INDIANA JONES aka THE CLASSIC
Why not starting by the most obvious ? There are quite a lot of Indiana Jones games available but I'll list here the most recent ones that were released. They are starting to look a bit old sadly but this shouldn't stop you to give them a try.
# Indiana Jones and the Infernal Machine (1999 - PC, Nintendo64, Game Boy Color)
# Indiana Jones and the Emperor's Tomb (2003 - PC, Mac, PS2, Xbox)
# Indiana Jones and the Staff of Kings (2009 - Wii, PS2, PSP, DS)
UNCHARTED aka THE SUCCESSOR
It's impossible for me to not mention this series here. The franchise exclusive to Sony's consoles is the best modern equivalent to Tomb Raider. In 2015 the three PS3 games were remastered for the PS4 in a compilation named Uncharted : The Nathan Drake Collection.
Deadfall Adventures (also named Deadfall Adventures : Heart of Atlantis for the PS3 version) is a first person game with an Indiana Jones setting and feeling. It features tombs, traps, puzzles, treasures to find and mummies to face. This is a great game (don't trust the reviews !) and a very nice alternative to Tomb Raider. Also don't be afraid by the fact it's a FPS. You shouldn't have problems playing it at all even if you're not the average FPS player.
# Deadfall Adventures (2013 - PC, Xbox 360, PS3)
LEGO INDIANA JONES aka THE FUNNIEST
Some LEGO games in the Indiana Jones universe, what's not to like ? These games are respectful of the movies and they also have the fun from all the LEGO games. And no LEGO games aren't made only for kids. They are for everyone and they are incredibly fun.
# LEGO Indiana Jones : The Original Adventures (2008 - PC, Mac, Xbox 360, PS3, PS2, PSP, Wii, DS)
# LEGO Indiana Jones 2 : The Adventure Continues (2009 - PC, Mac, Xbox 360, PS3, PSP, Wii, DS)
