Foe Yay: Is really played up between Lara and Larson, especially when compared to the original.
It's Easy, so It Sucks: Original game was firmly in Nintendo Hard territory. Anniversary, with checkpoints every five seconds, regeneration of health upon deathnote which probably earned the most flak, streamlined to bare basics level design and ability to perform One Hit Kills is a far cry of that, earning a lot of snark remarks from fandom.
Hell Is That Noise: The Egypt level runs on this trope, with sinister whisperings and subtle sounds echoing throughout the empty hallways, making you wonder what the hell is hiding down this place. What's worse is that some of the sounds are creepily akin to a heavy breathing...
Nightmare Fuel: Anything involving the Atlanteans, but especially the sacks from which they burst when you come too close.
There's also Lara's various deaths via Quick Time Events. While they are normally censored, she still dies in pretty gruesome ways, even compared to earlier games.
That One Boss: Third ledge above the lava, "Great Pyramid", Anniversary.
They Changed It, Now It Sucks: While some of the fandom still wasn't entirely hot on this new Lara, any Video Game Remake inevitably risks falling prey to this trope. Specifically, some people were not happy with the way some levels were streamlined, with much of the siderooms being removed or reappearing elsewhere in the game. Lara's motivations were also called in question, as she no longer appears to raid tombs "for sport", but to find out what happened to her mother. Some fans of the original Tomb Raider screamed in fury at the T.rex encounter being a boss battle largely played by quick-time events.
This is quite possibly the least faithful Video Game Remake of all time. It resembles a Hollywood-style movie remake, in that all of the game's content has been rebuilt and re-imagined from the ground up. The changes are insurmountable and the game is only faithful to the original Tomb Raider in Broad Strokes.
Tough Act to Follow: Due to the absolutely legendary status of the original game, it was inevitable. And since Crystal Dynamics took a lot of liberties upon making Anniversary in both gameplay and plot department, the older part of the fandom virtually disinherited the game.